Electromagnetic radiation consists of particles called photons, which exhibit both wavelike and particle-like behavior. The greater the momentum of a photon, the longer its wavelength.
What is electromagnetic radiation and what are photons?Electromagnetic radiation (or EM radiation) is energy that is transmitted through oscillating electric and magnetic fields at the speed of light. Electromagnetic radiation contains neither mass nor charge, but it travels in packets of radiant energy called photons. Electromagnetic waves carry energy and transfer it upon interaction with matter.
Electromagnetic radiation can take many forms, such as microwaves, infrared light, visible light, UV light, X-rays and the like.
Learn more about photons here: https://brainly.com/question/15946945
#SPJ4
ignoring air resistance a projectiles vertical speed will what?
In the absence of air resistance, the only force acting on both objects would be gravity. Both objects would experience the same 9.8 m/s² acceleration toward the ground.
Since the initial conditions of both projectiles are identical, the velocities of both projectiles will be the same at all times. Therefore, both projectiles will attain a zero vertical velocity at the same time, and it is at this point that they simultaneously reach their respective maximum heights.
The maximum heights will not be the same, and they will differ by precisely the amount of height difference between the launch points.
To understand more about air resistance -
https://brainly.com/question/14409464?referrer=searchResults
#SPJ1
Science
Eighth grade D.1 Calculate density, mass, and volume 9BL
Submit
Recommendations
Olive oil in a bottle has a mass of 690 grams and a volume of 750 cubic centimeters.
Calculate its density.
Write your answer to the hundredths place.
grams per cubic centimeter
The density of the of the olive oil, given that it has a mass of 690 grams and a volume of 750 cm³ is 0.92 g/cm³
How do I determine density of the olive oil?We know that density is defined as mass per unit volume. It is expressed as:
Density = mass / volume
Thus, with the above formula, we can determine the density of the oliver oil as illustrated below:
Mass of olive oil = 690 gVolume of olive oil = 750 cm³ Density of olive oil = ?Density = mass / volume
Density of olive oil = 690 / 750
Density of olive oil = 0.92 g/cm³
Therefore, we can conclude that the density of the olive oil is 0.92 g/cm³
Learn more about density:
https://brainly.com/question/952755
#SPJ1
the graph below shows the position vs. time for a 932 kg cart moving along a horizontal track. To the nearest tenth of a kilojoule, what is the car's kinetic energy at 8.0 seconds?
Answer:use 1/2 x M x V^2
Explanation:
to calculate the kinetic energy, observe the velocity from the graph at 8.0 seconds. and use the formula!
a satellite of mass 1000 kg is in a circular orbit around a planet. the centripetal acceleration of the satellite in its orbit is 5 ms2. what is the gravitational force exerted on the satellite by the planet?
The gravitational force exerted on the satellite of mass 1000 kg moving in a circular orbit with a centripetal acceleration of 5 m/s² by the planet is 5000 N (option C). The, the force acting on the satellite is: Therefore, the gravitational force exerted on the satellite by the planet is 5000 N (option C).
f
An influence that can alter an object's motion is called a force. A mass-containing object's velocity can change, or accelerate, as a result of a force. Intuitively, a push or a pull can also be used to describe force. Being a vector quantity, a force has both magnitude and direction. The rate at which an object's velocity with respect to time changes is called its acceleration. Vector quantities include accelerations. The direction of the net force acting on an object provides information about its acceleration.
Learn more about force here:
https://brainly.com/question/13191643
#SPJ4
Problem 3) A 70 ft long, 0. 5 in diameter hose with a roughness of 0. 0009 ft is fastened to a water faucet where the pressure is P1, Determine P1 if there is no nozzle attached and the average velocity in the hose is 6 ft/s Neglect minor losses and elevation changes. Repeat the problem if there is a 0. 25 in diameter nozzle attached to the end of the hose
If there is no nozzle attached and the average hose velocity is 6 ft/s, determine p. Neglect little elevation changes and losses. = 70f7.
Explain about the Velocity?Velocity, as opposed to speed, refers to the pace and direction of an object's movement as it moves down a path. In other words, whereas velocity is a vector, speed is a scalar quantity.
Simply said, velocity is the speed at which an object is moving in a particular direction. using a car travelling north on a highway as an illustration or a rocket after it has taken off as an illustration of speed. Scalar implies that the absolute magnitude of the velocity vector will always equal the speed of the motion.
186,282 miles per second is another way to express the speed of light. In dry air, the speed of sound is 343.2 meters per second.
To learn more about Velocity refer to:
https://brainly.com/question/24445340
#SPJ4
a nearsighted man has a far point of 300 cm. what kind of corrective lens should be prescribed for him?
The diverging lens/concave lens is used as a corrective lens is used for a nearsighted person
Nearsightedness is also known as myopia where the person with myopia will be able to see the near object but far objects will look blurry.
Myopia is corrected with lenses called "minus power lenses". They are concave in shape and help the eye to focus light properly. Myopia causes distant objects to appear blurry. Prescription glasses or contact lenses can usually correct this blurry distance vision. Myopic eyes have a stronger ability to focus than normal eyes. Focus in front of the retina, not on the retina. Lenses used to correct nearsightedness work by reducing the eye's ability to focus.
Learn more about myopia in
https://brainly.com/question/14833465
#SPJ4
Michael uses his bike to apply 456 N to himself and the bike by pedaling as he approaches a 1.4 m tall ramp which is 3.0 m away. He starts from rest to accomplish this feat. How fast will he be moving just before he hits the ramp? (Mike and the bike have a combined mass of 136 kg)
*WORK OUT AND USE UNITS*
The speed of Mike and his bike before hitting the ramp is 4.48 m/s.
What is the acceleration of Michael and his bike?The acceleration of Michael and his bike is determined by applying Newton's second law of motion as follows.
According this law, the force applied to an object is directly proportional to the product of mass and acceleration of the object.
F = ma
a = F/m
where;
a is the acceleration of Michaelm is mass of Michaela = (456) / (136)
a = 3.35 m/s²
The speed of Mike and his bike before hitting the ramp is calculated as follows;
v² = u² + 2as
where;
u is the initial speed of Mike = 0a is acceleration of Mikev is the final velocity of Mikes is the distance travelled by Mikev² = 0 + 2(3.35)(3)
v² = 20.1
v = √20.1
v = 4.48 m/s
Learn more about final speed here: https://brainly.com/question/6504879
#SPJ1
3. how are the voltage and current related? are they in phase or out of phase? what is the phase angle between the voltage and the current?
The voltage and current are related is to resistive circuit.
What is resistive circuit?
In a fully resistive circuit, current and voltage are in phase, and the power factor is 1. In a circuit where the current lags the voltage by 90 degrees, the power factor is zero trailing. The current leads the voltage in a completely capacitive circuit by 90 degrees, and the power factor is zero.
What is the relationship between the phases of voltage and current?
Current and voltage in a pure resistive circuit are in phase with one another. Thus, the peak values of both the current and the voltage will occur simultaneously.
Therefore, the phase angle between the voltage and the current is, capacitive circuit by 90 degrees, and the power factor is zero.
To learn more about resistive circuit from the given link.
https://brainly.com/question/28135236
#SPJ4
the base of an aluminum block, which is fixed in place, measures 90 x 90 cm. the height of the block is 60cm. a force, applied to the upper force and parallel to it, produces a shear strain of 0.0060. the shear modulus of aluminum is 3.0 x 10^10 pa. what is the displacement
The displacement of an aluminum block, which is fixed in place, measures 90 x 90 cm with a height of 60 cm is 0.36 cm
S = Shear ε / Shear γ
S = Shear Modulus
ε = Stress
γ = Strain
S = 3 * [tex]10^{10}[/tex] Pa
Shear γ = 0.006
Shear ε = S * Shear γ
Shear ε = 3 * [tex]10^{10}[/tex] * 0.006
Shear ε = 1.8 * [tex]10^{8}[/tex]
Shear ε = 180 MPa
Displacement = Shear ε * l
l = Length = 60 cm
Displacement = 0.006 * 60
Displacement = 0.36 cm
Therefore, the displacement of the upper phase aluminum block is 0.36 cm in the direction of applied force.
To know more about Shear Modulus
https://brainly.com/question/14070556
#SPJ4
you throw a ball upward with an initial speed of 4.5 m/s. when it returns to your hand 0.92 s later, it has the same speed in the downward direction (assuming air resistance can be ig- nored). what was the average acceleration vector of the ball?
The average acceleration vector of the ball is - 9.78 m/s².
When you throw a ball upward with an initial speed, it will go up until reaching its highest peak then it will go down. So the ball doing non-uniform motion. The formula for non-uniform motion including initial speed, and final speed with time is
v = u+at
u = initial speed (m/s) = 4.5 m/sv = final speed (m/s) = - 4.5 m/s (because it's going down)t = elapsed time (s) = 0.92 sa = acceleration (m/s²)v-u = at
[tex]a = \frac{v - u}{t}[/tex]
[tex]a = \frac{- 4.5 - 4.5}{0.92}[/tex]
[tex]a = \frac{- 9.0}{0.92}[/tex]
a = 9.78 m/s²
Learn more about The average acceleration here: https://brainly.com/question/13388291
#SPJ4
Which quantity is scalar? (1 point)
O velocity
O energy
O force
O momentum
Answer: B. Energy
Explanation:
The Energy is the quantity that only depicts the magnitude and not the direction, hence it is a scalar quantity, so option B is correct.
What is Energy?In physics, energy is the capacity to do work. It might be potential, kinetic, thermal, electrical, chemical, radioactive, etc. Heat and work are further examples of energy being transferred from one body to another. Once it has been transmitted, energy is always allotted based on its nature. Thus, heat transmission could result in thermal energy while effort could produce mechanical energy.
The scalar quantity means they have only the magnitude and no direction. The velocity of any object tells the speed at which it is moving and its direction also, and the force applied to an object also tells the magnitude with direction, the momentum of an object is dependent on the force, so it is also a vector quantity
Therefore, Energy is the quantity that only depicts the magnitude and not the direction, hence it is a scalar quantity.
To know more about Energy:
https://brainly.com/question/8630757
#SPJ2
a 200 g mass is placed on the meter stick 20 cm from the fulcrum. a 170 g mass is used tobalance the system. how far will it have to be located from the fulcrum to keep the systeminbalance?
200 g mass is placed on meter stick 20 cm from fulcrum. a 170 g mass is used to balance the system and placed the meter stick at 23.52cm.
What is equilibrium?A dynamic or static equilibrium between opposing forces or actions, such as when forces are acting on a body and the resultant is zero (as in a reversible chemical reaction when rates of reaction in both the directions are equal)
The word "equilibrium" derives from the Latin word "libra," which means "weight" or "balance." As a constellation, astrological sign, and representation of the zodiac, Libra is sometimes shown as a set of balance scales, frequently held by the blindfolded goddess of justice, which stands for justice, fairness, and equality. Biology, chemistry, physics, and economics all have different definitions of equilibrium, yet they all refer to the harmony of opposing forces.
F₁d₁ = F₂d₂
m₁gd₁ = m₂gd₂
m₁d₁ = m₂d₂
here,
m₁ is mass of known object = 200 g
m₂ is mass of unknown object = 170 g
d₁ is distance from fulcrum of known object = 20 cm
d₂ is distance from fulcrum of unknown object = ?
∴ 200 × 20 = 170 × d₂
4000 = 170 × d₂
4000/170 = d₂
d₂ = 23.52 cm
170 g mass is placed at the distance of 23.52 cm.
To know more about equilibrium, visit:
https://brainly.com/question/29224063
#SPJ4
The parachutist’s mass is 70kg. The plane is 12km above the ground. How much GPE does the parachutist have?
Answer:
8.2x10^2 Joules
Explanation:
Assuming that GPE means potential energy of the parachutist, and he/she is doing this on Earth, we can find their potential energy, (PE) with the equation:
PE = mgh, where m is the mass of the parachutist in kilograms, g is the acceleration due to gravity [9.8 m/s2 for Earth (near surface)] and h is the height in meters.
m = 9.8 m/s^2
h = 12,000 meters (12 km)
m = 70 kg
PE = (70kg)(9.8 m/s^2)(12,000 m)
PE = 823,200 kg*m^2/s^2
PE = 8.2 x 10^2 kg*m^2/s^2
(1 kg*m^2/s^2) is the SI equivalent to a Joule.
The potential energy is 8.2x10^2 Joules
Which of the following graphs represent an object at rest? (There could be more than one correct cho 0' 0' 0 0 graph a graph b graph c graph d
Graph A, because distance-time graph is a straight line parallel to the time-axis because the position of the object does not change when it is at rest.
Distance is the length between two points or items, and it is directionless. Since distance is a scalar attribute, it only takes into account the overall magnitude and ignores the start and end locations. Being a scalar attribute, distance may only be positive or zero; it cannot be the opposite.
Although kilometers (km) and centimeters (cm) or millimeters (mm) can also be used to express shorter distances, the meter (m) is the most used unit of measurement for distance (mm). When calculating distance, the letter D is usually used to denote the distance traveled.
To know more about distance visit : brainly.com/question/12626613
#SPJ4
the weight of the builder and new roof tiles is 640N. draw a diagram to calculate the components of the total weight parallel and perpendicular to the slope of the roof
Answer:
Explanation:
is there a diagram of the question?
The parallel component of the total weight is 320 N and the perpendicular component of the total weight is 554.3 N.
What are the components of the Total weight?The components of the total weight of the builder and the new roof tile which may be of two types, i.e. parallel components or perpendicular components.
The parallel component and new roof tiles can be calculated as;
Fn ( parallel ) = W sin ( θ )
where;
W is the total weight
θ is the slope or angle of inclination of the total weight
So,
Fn ( parallel ) = 640 sin ( 30 )
Fn ( parallel ) = 320 N
The perpendicular component and new roof tiles is calculated as follows;
Fn ( parallel ) = W cos ( θ )
where;
W is the total weight
θ is the slope or angle of inclination of the total weight
So,
Fn ( perpendicular ) = 640 cos ( 30 )
Fn ( perpendicular ) = 554.3 N
Thus, the parallel component of the total weight is 320 N and the perpendicular component of the total weight is 554.3 N.
Learn more about Parallel and perpendicular components here:
brainly.com/question/17279425
#SPJ2
Your question is incomplete, most probably the complete question is :
The weight of the builder and new roof tiles is 640 N. The slope is at 30 degrees on the given diagram. Draw a diagram to calculate the components of the total weight parallel and perpendicular to the slope of the roof.
How many moles of CaCo2 are in 50g of calcium carbonate
Body systems work together to perform all the functions necessary for the survival of
An organism
C. Explain why the failure of one organ or organ
system can affect the function of other body
systems in an organism.
Explanation:
Body systems work together to perform all the functions necessary for the survival of
An organism
C. Explain why the failure of one organ or organ
system can affect the function of other body
systems in an organism.
An astronomical telescope is used to view distant stars. How does the angle between the just-resolvable light from two stars differ if the average light from the stars is red or if it is blue?.
With an astronomical telescope, the angle of just resolution light from two stars would be greater if the light of the average star is red or if it is blue.
What is an astronomical telescope?
An astronomical telescope consists of two lenses: objective and eyepiece.
The objective lens forms the image of a far off object at focal point while eyepiece lens just magnifies the image and make it look more clear, visible and magnified.
The formula D = 1.22λ/dФ is used to find the value of aperture of the telescope.
In general, an astronomical telescope is used to view distant stars. Thus, the angle formed would be greater if the light emitted by the average stars is red or blue.
If you need to learn more about astronomical telescope click here:
https://brainly.com/question/15232340
#SPJ4
a proton moves at constant velocity in the y direction, through a region in which there is an electric field and a magnetic field. the electric field is in the x direction, and has magnitude 400 v/m. the magnetic field is in the -z direction, and has magnitude 0.65 t.what is the magnitude of the net force on the proton?
The magnitude of the net force on the proton is 0.
What happens when the net force is zero?An object with zero net force will either remain stationary if initially stationary or maintain a constant velocity.
Fₙ = F₁ - F₂
Fₙ = Net force
F₁ and F₂ are applied forces
Now, F = ma
0 = ma
a = 0
Since acceleration is zero this implies that the object is moving with a constant velocity.
For the given case,
The proton is moving with a constant velocity along the y direction, which means the acceleration is zero. So, the net force is:
Fₙ = ma
Fₙ = m × 0
Fₙ = 0
To know more about net force visit
https://brainly.com/question/18031889
#SPJ4
ima rilla saari rushes to her car in order to hurry home and get dressed for work. failing to realize the dangers of driving under slick and icy conditions, she collides her 940-kg mazda miata into the rear of a 2460-kg pick-up truck which was at rest at the light on lake avenue. ima's pre-collision speed was 12.5 m/s. determine the post-collision speed of the two entangled cars as they slide across the ice.
The two intertwined autos are sliding on the ice at a 3.46 m/s post-collision speed.
What is conservation of momentum?The principle of momentum conservation argues that within a given problem domain, momentum is never created nor destroyed but only modified by the action of forces as they are represented by Newton's laws of motion.
According to the rule of conservation of momentum, absent an external force, the combined momentum of two or more bodies operating upon one another in an isolated system remains constant. As a result, momentum cannot be gained or lost.
The speed of the Mazda before the accident multiplied by the mass of the Mazda must match the speed after the collision multiplied by the mass of both cars, according to the property of conservation of momentum:
m1v1 = m1 + m2 *v2
940*12.5 = 940 +2460 *v2
v2 = 3.46 m/s
To learn more about conservation of momentum refer to:
https://brainly.com/question/7538238
#SPJ4
A mass on a spring undergoes shm. When the mass is at its maximum displacement from equilibrium, its instantaneous velocity?.
When the spring undergoes simple harmonic motion and its mass is at maximum displacement then its instantaneous velocity is zero.
Simple Harmonic Motion:
Simple harmonic motion is a periodic motion in which the acceleration of the object undergoing the simple harmonic motion is directly proportional to the distance of the object from its equilibrium position and is always directed toward the mean position.
At the maximum displacement, the spring is under its greatest tension, which forces the mass upward. At the maximum displacement, the spring reaches its greatest compression, which forces the mass back downward again.
Therefore we get that when mass is at its maximum displacement from equilibrium its instantaneous velocity is zero.
To know more about the simple harmonic motion refer to the link given below:
https://brainly.com/question/26114128
#SPJ4
how do astronomers see astrophysical black holes if no light can escape from the event horizon of the black hole?
The event horizon of a black hole, the region beyond which there is no return, is the zone from which no light of any sort, including X-rays, can escape. Black hole research telescopes operated by NASA.
Are examining the black holes' surroundings, which contain material that is quite near the event horizon. A black hole is an area of spacetime where gravity is so intense that nothing can escape from it, not even electromagnetic radiation like horizon. A sufficiently compact mass can distort spacetime to generate a black hole, according to general relativity theory.
A black hole is a compact, dense object whose gravitational attraction is so powerful that nothing can escape from it up close, not even light.
Learn more about horizon here
https://brainly.com/question/14155894
#SPJ4
when the top 2 waves are added together, the result is the bottom wave. the bottom wave is an example of
When two waves collide while moving across the same medium, wave interference is the result.
What happens when 2 waves meet?When two waves collide, they cause each other's displacement to change, creating a totally new wave in the process. The amplitude of the resulting wave at each point is determined by adding the amplitudes of each wave, according to the principle of superposition.Sound waves interact when they share a space with one another.The waves pass through each other instead than off of one another. Depending on how the waves align, a wave will result.The two waves will combine into a temporary, larger wave with an amplitude equal to the sum of their individual amplitudes if their crests and troughs completely line up. Constructive interference is what this is.To Learn more About wave interference refer to :
https://brainly.com/question/9655287
#SPJ4
a figure skater rotating on one spot with both arms and one leg extended has moment of inertia ii . she then pulls in her arms and the extended leg, reducing her moment of inertia to 0.75 ii . what is the ratio of her final to initial kinetic energy?
The ratio of her final to initial kinetic energy is 1.33
What is conservation of angular momentum?
Conservation of angular momentum is a principle in physics according to which the total angular momentum of a system remains constant as it is free from external torque irrespective of all the various types of interaction and transformation taking place within the system. It is a physical property of spinning system. The easiest example of conservation of angular momentum is Earth spinning around at the same rate from last billions of years.
Iiwi = Ifwf
Where Ii = Initial Angular momentum
If = Final Angular momentum
wi= initial angular velocity
wf = final angular velocity
wf= Iiwi / If
= Iiwi/ 0.75 Ii
= 1.33 wi
Ki= ½ = Iiwi2
Kf= ½ (0.75) Ii (1.33 wi)2
= 1.33 Ki
Kf/ Ki = 1.33 Ki/ Ki
= 1.33
To know more about angular momentum, click on the following link
https://brainly.com/question/7538238
#SPJ1
A 25.0 kg mass is traveling to the right with a speed of 3.00 m/s on a smooth horizontal surface when it collides with and sticks to a second 25.0 kg mass that is initially at rest but is attached to one end of a light, horizontal spring with force constant 190.0 n/m. the other end of the spring is fixed to a wall to the right of the second mass. what is the frequency?
The frequency of the given mass is 0.31Hz.
Frequency:
the term frequency refers to the number of waves that pass a fixed point in unit time. It also describes the number of cycles or vibrations undergone during one unit of time by a body in periodic motion.
Here we have to find the frequency.
Formula to find the frequency:
f = ω /2π
ω = [tex]\sqrt{\frac{k}{M} }[/tex]
= [tex]\sqrt{\frac{190}{50} }[/tex]
= 1.95
Now putting the values we have
f = 1.95/ 2π
= 0.31 Hz
Therefore the frequency is 0.31Hz.
To know more about the frequency refer to the link given below:
https://brainly.com/question/254161
#SPJ4
when a star settles down to a stable existence as a main-sequence star, what characteristics determines where on the main sequence in an h-r diagram the star will fall?
A star's mass determines where it lies along the main sequence. On the main sequence, high-mass stars are hotter and emit more energy than low-mass stars.
Explain about the Mass?A metric called mass is employed in physics to express inertia, a basic property of all matter. What it essentially is is the resistance of a mass of matter to changing its direction or speed in response to the application of a force. The more mass a body has, the less of a change an applied force makes.
Mass is a unit used to describe how much matter is present in an object. Usually, the unit of mass is either kilogrammes (kg) or grammes (g) (kg). Mass is a measure of how much matter there is, regardless of where it is in the cosmos or how much gravitational force is being applied to it.
To learn more about Mass refer to:
https://brainly.com/question/19385703
#SPJ4
3 points
A net force of 9,079 N is applied to a car having a mass of 1,447 kg. Find the acceleration of the car.
Type your answer...
Previous
Answer:
a = 6.27 m/s² - acceleration
Explanation:
Given:
F = 9 079 N
m = 1 447 kg
_________
a - ?
Acceleration:
a = F / m
a = 9 079 / 1 447 ≈ 6.27 m/s²
determine what fraction of the kinetic energy of the ball before collision is lost during teh collsion. what happens to it?
1/2 m₁v₁²(m₁ / m₁+ m₂ ) is the fraction of Kinetic energy lost during an inelastic collision.
From the concept of law of conservation of energy, In an elastic collision when two objects collide with a particular velocity then the kinetic energy before the collision will be the same after the collision as well but that's not the case in an Inelastic collision where there's always loss of kinetic energy.
In case of inelastic collision,
pi = pf
here p = momentum
m₁v₁ = (m₁ + m₂)v₂
v₂= m₁v₁ / (m₁ + m₂) ------- equation 1
Ki = Kf
1/2m₁v₁² = 1/2 (m₁+m₂) v₂²
Put the value of v₂ from equation 1
1/2mv² = 1/2 (m₁ + m₂) [m₁v₁ / m₁+m₂]²
=> 1/2 (m₁v₁)² / ( m₁+m₂ )
∴ Fraction of Kinetic energy lost
= 1/2 m₁v₁² - 1/2 (m₁v₁)² / (m₁+m₂)
=> 1/2 m₁v₁²( m₁ / m₁ + m₂ )
To learn more about Collisions visit
https://brainly.com/question/4322828
#SPJ4
if sarah applies a force of 17.0 n to the end of a 35 cm lever at an angle of 25 degrees, what will be the torque exerted on the lever?
The torque that will be exerted on the lever is 2.49 N-m.
The torque on the rod is given by,
T = F x a
Where,
T is the torque,
F is the applied force,
a is the perpendicular distance from the end of the rod.
T = F.s.sinA
The force that Sarah applied is 17 N and s is the distance from one end of the lever is 0.35 m,
The angle at which the force is applied is 25 degrees.
Putting the values,
T = 17 x 35 x sin(25)
T = 2.49 N-m
So, yes, there will be a torque of magnitude 2.49 N-m.
To know more about Torque, visit,
https://brainly.com/question/17512177
#SPJ4
The place kicker on a football team kicks a ball from ground level with an initial speed of 8.40 m/s at an angle of 21.0° above the horizontal. How long is the ball in the air, in seconds, before it lands on the ground again? You may neglect air resistance.
Answer:
See below
Explanation:
Vertical component of the kick-off velocity is 8.4 sin21° = 3.01 m/s
Find the time-point where vertical velocity = 0 the ball is in the air for twice this long ( as it still has to fall back down to the ground)
vf = vo + at
0 = 3.01 m/s - 9.81 t shows t = .307 twice this is .614 sec
( what a sorry kick !)
