f(x) means a function of x. In this case, the function of x is 3x - 5
So if you have f(2), apply the function with the value of x equal to 2. In this case, just plug 2 into the equation where x is :
f(x) = 3x - 5
f(2) = (3)2 - 5
f(2) = (3 . 2) - 5
f(2) = 6 - 5
f(2) = 1
The function is shown in the figure below. Since this is a linear function we can see that the graph intersects the x-axis at only one point. This equation is a linear equation with two variables. Since there is a unique value of y for every value of x, we find them accordingly and set x = 0, then y = 5. So (0.5) is the answer you get. F values are used in the analysis of variance (ANOVA). It is calculated by dividing the two mean squares. This calculation determines the ratio of explained to unexplained variance. The F distribution is a theoretical distribution.
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A baseball diamond is perfect square with each base being 27.4 meters away from the next. When a catcher has to throw a ball to second base. How far does he have to throw
The distance from the second base to home plate is [tex]27.4\sqrt{2}[/tex] meter
The baseball diamond with each base = 27.4 meters
Formula used:
Pythagorean theorem:
[tex]h^2 = p^2 + b^2[/tex]
Here, h is hypotenuse, b is base, and is p perpendicular.
The distance of second base to home plate is diagonal of the square, and its a hypotenuse and perpendicular and base is 27.4 meter.
[tex]h^2 = p^2 + b^2\\h^2 = 27.4^2 + 27.4^2\\h^2 = 2 \times 27.4^4\\[/tex]
h = ±27.4[tex]\sqrt{2}[/tex]
The distance is always positive, Thus, the distance of second base to home plate is meter. 27.4[tex]\sqrt{2}[/tex]
Explain Pythagorean theorem ?In mathematics, the Pythagorean theorem, or Pythagorean theorem, is the basic relationship between the three sides of a right triangle in Euclidean geometry. It affirms that the area of a square whose side is the hypotenuse (opposite side of a right angle) is equal to the sum of the areas of the squares of the other two sides. This theorem can be written as an equation combining the lengths of the legs a, b and the hypotenuse c, often called the Pythagorean equation
[tex]{\displaystyle a^{2} + b^{2} = c^2[/tex]
The theorem has been proven many times by many different methods - perhaps the most of any mathematical theorem. There are various proofs, including both geometric and algebraic proofs, some dating back thousands of years.
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kepler's third law, p2 = a3, means that
Kepler's third law, p^2 = a^3, means that the square of the total time period of a planet's revolution the sun is directly proportional to the cube of its mean distance from the Sun.
Kepler's third law is also known as the law of periods. It states that the shorter the orbit of the planet around the sun, the shorter will be its time period. These equation have helped to calculate the total time period of the planets of the Solar system.
Using Newton's law of gravitation, we can simplify the above equation as:
P^2 = 4π^2 /[G(M1+ M2)] × a^3
Here M1 and M2 are the masses of the revolving objects.
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Give one example of a situation where changing the background of an image might be useful.
Answer:
so people cant hack into a device (phone,tablet,computer) & find out where you are & kill you.
Explanation: very useful if you have any devices
A red star and a blue star both have the same radius and are at the same distance from the earth. How does their observed brightness compare?.
An apparent brighter blue star.
The hue of light emitted by a star depends on its surface temperature. Yellow stars are hotter than red stars, and yellow stars are hotter yet than blue stars.
What are the red and blue star's color indices?The difference between a star's magnitude in one filter and its magnitude in another filter is that star's color index. Color indices can be calculated using any filter, but some of the more used ones are B-V and V-R. Red wavelengths are B, green wavelengths are V, and blue wavelengths are B. The star is bluer (and hotter) if B - V is small than if B - V is high since magnitudes decline with increasing brightness.
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Explain why the Ray of light is refracted towards the normal
Light rays bend towards the normal because they slow down when moving from a rarer medium to a denser medium.
How do light rays always refracted towards the normal?The reason behind the refraction of rays of light towards normal is that because slow down when moving from a rarer medium to a denser medium.
If the light rays enter any substance with a higher refractive index (which includes air into glass) then it will slow down. The light always bends towards the ordinary line. If mild travel enters into a substance with a lower refractive index (which includes from water into the air) then it will speed up. Therefore the ray of light always refracted towards the normal.
When the light rays enter from the air into a denser medium like water or glass then the ray of light will refract towards the normal. When light travels from a denser medium into the air, it will refract away from the normal.
So we can conclude that light rays slow down when moving from a rarer medium to a denser medium.
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What is the angle sum of a 19 sided regular polygon
A regular polygon's interior angles add up to 3060° of a 19 sided polygons.
What is polygon's?Polygons are defined as a flat shape surrounded by sides, or line segments.
It can be defined as a plane figure whose description is given by a closed polygonal chain made up of a finite number of straight line segments.
It can also be defined as any closed curve made up of a number of connected line segments that do not cross one another.
Sum of interior angle = (p - 2) x 180°
Where p = 19
Sum of interior angle = (19 - 2) x 180°
= 17 x 180°
= 3060°
Thus, a regular polygon's interior angles add up to 3060° of a 19 sided polygons.
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In the circuit shown, the resistors are connected in parallel.(a) Find the equivalent resistance of the two resistors.(b) Find I 1
Given:
R1 = 56Ω
R2 = 8 Ω
Give that the resistors are i
A block is projected up a frictionless inclined plane with initial speed vo = 9.12 m/s.The angle of incline is 0 = 35.0°. (a) How far up the plane does it go? (b) How longdoes it take to get there? (c) What is its speed when it gets back to the bottom?
a) The block goes 7.4 m up the plane
b) It takes 1.62 seconds to get there
c) The speed at the bottom is -9.1 m/s
Explanations:The initial speed, v₀ = 9.12 m/s
Angle of inclination, θ = 35°
Note that the summation forces on the block as it goes up the inclined plane is 0. That is, ΣF = 0
mgsinθ + ma = 0
mgsinθ = -ma
a = -gsinθ
The acceleration of the block up the plane is:
a = -9.8 sin 35
a = -5.62 m/s²
a) How far up the plane does it go?
Using the equation v² = v₀² + 2as
At the maximum distance up the plane, v = 0
0² = 9.12² + 2(-5.62)s
0 = 83.17 - 11.24s
11.24s = 83.17
s = 83.17/11.24
s = 7.4 m
The block goes 7.4 m up the plane
b) How long does it take to get there?
Using the equation v = v₀ + at
Since we want to calculate the time taken to reach the maximum distance, the speed at this point is 0. v = 0m/s
Substitute a = -5.62, v₀ = 9.12, and v = 0 into v = v₀ + at
0 = 9.12 + (-5.62)t
5.62t = 9.12
t = 9.12 / 5.62
t = 1.62 seconds
c) What is its speed when it gets back to the bottom?
The total time it takes the block to go up and down the plane = 2(1.62)
The total time it takes the block to go up and down the plane = 3.24 s
To calculate the speed of the block when it gets back to the bottom, use the equation v = v₀ + at
v = 9.12 + (-5.62)(3.24)
v = 9.12 - 18.21
v = -9.1 m/s
determine the magnitude and location of the resultant of the distributed load. (round the resultant to the nearest whole number and the location to two decimal places.) (you must provide an answer before moving to the next part.) the magnitude of the resultant is n. the location of the resultant x⎯⎯⎯ is m.
The magnitude and location of the resultant of the distributed load is given as
[tex]\bar{x}=3.4545 \mathrm{~m} \quad$[/tex]
This is further explained below.
What is the resultant force?Generally, In the fields of physics and engineering, a resultant force is a single force and related torque that is created by combining a system of forces and torques operating on a rigid body by vector addition. This process yields the single force and associated torque.
[tex]$\sum F_y=0$$F_R=\frac{1}{2} \times(600+1600) \times 6=6600 \mathrm{~N}$\\\\$\sum M_2=0$[/tex]
[tex]$$F_R \times \bar{x}=(600 \times 6) \times\left(\frac{6}{2}\right)+(0.5 \times(1600-600) \times 6) \times\left(\frac{6 \times 2}{3}\right)\\\\$$$6600 \bar{x}=10800+12000$\\\\$\bar{x}=3.4545 \mathrm{~m} \quad$[/tex]
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CQ is attached below
Suppose you are planning a journey to the center of Earth in a self-propelled tunneling machine. List the properties of the special materials that would be needed to build the machine, and explain why each property would be important.
Special Materials means any and all materials which, under Environmental Requirements, require special handling in use, generation, collection, storage, treatment or disposal, or payment of costs associated with responding to the lawful directives of any court or agency of competent jurisdiction.
Properties of the special materials:
1. Stainless steel
2. Aluminum
3. Brass
4. Titanium
5. Steel
what is special materials?
Special Materials means any and all materials which, under Environmental Requirements, require special handling in use, generation, collection, storage, treatment or disposal, or payment of costs associated with responding to the lawful directives of any court or agency of competent jurisdiction.
Importance of property:
1.As a result of its adaptability, toughness, and effectiveness, stainless steel is a common material for use in precision machining. When it comes to stainless steel, there are numerous alternatives and varieties to consider. In order to obtain the required outcome, several varieties of stainless steel can be employed for diverse applications in precision machining.
2.Aluminum is even becoming a preferred choice to steel, with advances in cleaning and machining to make aluminum a more useful material. However, for best results, aluminum welding always needs to be handled by an experienced machining shop.
3.Free machining brass is another economical alternative material. Advantages of brass machining are the ease of machining, smooth, clean finish, non-sparking, holds tolerances and threads well.
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the maximum incline at which sediments on a slope can remain at rest before pulled downward by gravity is known as the .
The maximum incline at which sediments on a slope can remain at rest before being pulled downward by gravity is known as the Weathering
What is friction?Friction is a type of force that resists or prevents the relative motion of two physical objects when their surfaces come in contact.
As given in the problem statement we have to find out the maximum incline at which sediments on a slope can remain at rest before being pulled downward by gravity.
The Weathering Angle is the highest inclination at which sediments on a slope may rest before being dragged down by gravity.
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which object gives off the greatest intensity of blue light?
Object having shorter wavelength or higher frequency gives off the greatest intensity of blue light because it strongly scattered the light.
What is Light?Light is the electromagnetic radiation having wavelengths between 380 and 750 nm that makes visible to human eyes. Electromagnetic radiation are radio, microwave, infrared, visible light, ultraviolet, X-rays and gamma rays in the terms of wavelengths. The Sun is the main source of the light.
Light travels in a straight line whose speed is faster than the speed of sound. The speed of light is 3 x [tex]10^8[/tex] m/s.
Light energy is of various types. They are:
1. Visible light
2. Infrared light
3. X-rays and Ultraviolet light
Characteristics of light are as follows:
1. Direction
2. Intensity
3. Color
4. Contrast
5. Hardness
Thus, object having shorter wavelength or higher frequency gives off the greatest intensity of blue light because it strongly scattered the light.
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A ball is thrown upwards at 24.39 m/s. What is the maximum height the ball reaches?
Answer:
30.3 m
Explanation:
vf = final velocity = 0 at the apex
vo = original velocity = 24.39 m/s
a = - 9.81 m/s^2
vf = vo + at
0 = 24.39 -9.81 t shows t= 2.486 s
df = final height
df = vo t + 1/2 a t^2
= 24.39( 2.486) + 1/2 ( -9.81)(2.486^2) = 30.3 m
a woman standing and watching the stars on a cool, calm night will lose most of her body heat by which mechanism? radiation convection conduction evaporation radiation and convection only
A woman Standing and watching stars on a cool and calm night will lose most of her body heat by the mechanism of radiation.
In conduction method of thermal energy transfer energy take place between the objects by using the direct contact between the particles.
Convection is a method of heat transfer in which fluids do the heat transfer generally.
Evaporation method of heat transfer it is just a method cooling down the temperature of the body.
The only method of heat transfer that is valid in this case is radiation in which the heat transfer take place by the use of electromagnetic radiations coming directly from the sun or the moon or the stars.
So the correct answer here is only radiation.
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a driver travels 135 km east in 1.5 h stops for 45mins for lunch and then resumes driving fir the next 2.0h through a displacment of 215 kn east. what is the drivers average velocity?
A driver travels 135 km east in 1.5 h stops for 45mins for lunch and then resumes driving fir the next 2.0h through a displacement of 215 kn east. the drivers average velocity is 82.3 km / hr.
given that :
distance travel d1 = 135 km
time taken t1 = 1.5 h
hault time t = 45 mins = 0.75 h
distance travelled d2 = 215 km
time t2 = 2.0 h
Average velocity = Total time taken / time
Average velocity = ( 135 km + 215 km ) / ( 1.5 h + 0.75 h + 2.0 h)
= 350 km / 4.25
= 82.3 km / hr
Thus, A driver travels 135 km east in 1.5 h stops for 45mins for lunch and then resumes driving fir the next 2.0h through a displacement of 215 kn east. the drivers average velocity is 82.3 km / hr.
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is an essential nutrient that makes up more than 50 percent of your body weight
Answer:water
Explanation:
Water may be a nutrient that makes up 60% of our body weight. it's important in many functions, it's part of every cell in every tissue in the body.
Water carries other nutrients to all or any parts of the body, it carries waste out of the body and it helps to manage body temperature. When you run or play sports your body heats up pretty quickly.
Your body starts to sweat as a way to get rid of the heat. When the sweat evaporates on your skin your body and blood get cool. it's very important to replace the fluid that is lost by sweating so as not to become dehydrated.
If you get dehydrated the body cannot cool itself anymore and your performance will drop. Without enough water, whether you're exercising or sitting all day, you're at risk for dehydration which can be fatal
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an object of mass m is moving with velocity v. what will happen to its momentum if v doubles? final momentum
The final momentum will be doubled.
What is momentum?
momentum is the result of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude as well as direction. According to Isaac Newton's second law of motion, the force acting on a particle is equal to the time rate of change of momentum. Check out Newton's laws of motion. According to Newton's second law, if a particle is subjected to a constant force for a specific amount of time, the result of the force and time (referred to as the impulse) is equivalent to the change in momentum. On the other hand, a particle's momentum represents the length of time needed for a consistent force to bring it to rest.
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5. Which of the following occurs as the potential energy of an object decreases?
A. Its kinetic energy increases.
B. Its thermal energy decreases.
C. Its chemical energy increases.
D. Its magnetic energy decreases.
A. Its kinetic energy increases occurs as the potential energy of an object decreases.
When mass is reduced, what happens to potential energy?The mass and height of an item affect how much gravitational potential energy it has. More gravitational potential energy is held by an item the heavier it is and the higher it is above the surface of the earth. As weight and height grow, gravitational potential energy rises.
The mass of the item has a significant role in determining the gravitational potential energy. The mass and potential energy are intimately related. As a result, an item with higher mass has more potential energy.
A falling object loses potential energy while gaining kinetic energy. The difference between the increase in kinetic energy and the reduction in potential energy is exact. Work is a further crucial idea.
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what is the difference between copernicus and kepler description of planetary orbits?
Answer:
Kepler refined the Copernican model. Orbits are not circles along which planets move at a constant speed, but ellipses, in the central focus of which is the Sun. The planet moves in an ellipse with a variable speed depending on the distance to the Sun. On this basis, Kepler significantly simplified the Copernican model and formulated the laws of planetary motion in their orbits.
Which option gives an object’s mass in si units?
Answer:
B
Explanation:
Kilograms are SI units! Hope this helps :)
Answer:
b im pretty sure
bc of kilogram
y = A2 x - B
If y = 13.9, x = 4.45, and B = 8.87, what is A?
A is 2.56 . A function is a mathematical relationship in which the values of one or more independent variables influence the values of a single dependent variable.
What is functions and variables?The independent variable determines the dependent variable through function (s).
A variable is a value that is stored, and a function is a program (I can't think of another word for it). So you can have a n variable that stores the value 1, and a function called print(n) that prints whatever is inside the parenthesis, (n in this example), so the value stored in n is printed.
Therefore,
y = 13.9, x = 4.45, and B = 8.87,
13.9=A × 2(4.45) - 8.87
Switch sides
A × 2(4.45) - 8.87 = 13.9
Remove parentheses:
A × 2 × 4.45 - 8.87 = 13.9
Multiply the numbers: 2 × 4.45 = 8.9
8.9 A - 8.87 = 13.9
Multiply both sides by 100
8.9 A × 100-8.87 × 100= 13.9 × 100
Refine
890 A - 887 = 1390
Add 887 to both sides
890 A - 887 + 887 = 1390 + 887
Simplify
890 A = 2277
Divide both sides by 890
[tex]$\frac{890 A}{890}=\frac{2277}{890}$[/tex]
Simplify
[tex]$A=\frac{2277}{890}[/tex]
A = 2.56
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A piece of tin has a mass of 16.52 g and a volume of 2.26 cm 3 . What is the density of tin?
Explanation:
gdbbhwsjanakwgwjwnsbwinwnw
bajwjkwwjehjwkwkwmw
wmiwwijwkwkwmw
........,.................
.....
A drawing that shows components of a circuit as they would actually appear is called a(n) _________ or ________ drawing.
A drawing that shows components of a circuit as they would actually appear is called a pictorial or schematic drawing.
A schematic drawing representation of circuits can be done to reflect the different components that makes up that circuit. In schematic drawing, symbols and lines are used as connections. These circuit diagrams are the main knowledge behind the design and construction of any electrical and/or electronic appliances.
Schematic diagrams help the electrical and electronic buildup of materials in the following ways:
• It help users to design the whole electrical circuit before building or rebuilding, incases of faults
• It also help to identify the functioning capabilities of a system through the circuits.
• It help engineers to know how different parts of components, work together before designing.
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a 1000w electric motor lifts a 100 kg safe at constant velocity. the vertical distance through which the motor can raise the safe in 10s is most nearly
The vertical distance through which the motor can raise the safe in 10 s is most nearly 10.2 m
How do I determine the vertical distance?We'll begin by obtainig the energy. This can be obtained as follow:
Power (P) = 1000 WTime (t) = 10 secondsEnergy (E) = ?Power (P) = Energy (E) / time (t)
Cross multiply
Energy = Power × time
Energy = 1000 × 10
Energy = 10000 J
Finally, we shall determine the vertical distance. Details below:
Energy = 10000 JMass (m) = 100 KgAcceleration due to gravity (g) = 9.8 m/s² Vertical distance (h) =?E = mgh
10000 = 100 × 9.8 × h
10000 = 980 × h
Divide both sides by 980
h = 10000 / 980
h = 10.2 m
Thus, the vertical distance is 10.2 m
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what is the maximum speed with which a 1200- kg car can round a turn of radius 92.0 m on a flat road if the coefficient of static friction between tires and road is 0.40?
The maximum speed with which a 1200- kg car can round a turn of radius 92.0 m on a flat road if the coefficient of static friction between tires and road is 0.40 will be 18.6 m/s.
A force that holds an object at rest is called static friction. The definition of static friction is: The resistance people feel when they attempt to move a stationary object across a surface without actually causing any relative motion between their body and the surface they are moving the object across.
The frictional force acting on the car is given by:
[tex]F_{f} =umg =(0.40) (1200kg)(9.81m/s^{2} )=4709N[/tex]
The force applied to an item in curved motion that is pointed toward the axis of rotation or the centre of curvature is known as a centripetal force. Newtons are used to measure centripetal force. The direction of the centripetal force is always perpendicular to the direction in which the item is moving.
However, the centripetal force, which keeps the car turning in a circle, is also related to the frictional force:
[tex]F_{f} =F_{c} =m \frac{v^{2} }{r}[/tex]
Where v is the fastest the car can travel while still in the turn. We may get the value of v by rearranging the formula and substituting r=88.0 m:
[tex]v=\sqrt{} \frac{Fx_{r} }{m} = \sqrt{}\frac{(4709N)(88..0m)}{1200kg}[/tex]
18.6 m/s
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Group the words or phrases from the word bank according to the type of wave they describe: Waves on the surface of a pond, sound waves, or both. Hint: Use each description in the word bank only once.
The correct word matching of the given waves are:
Water Surface Ripples
Mechanical waveTransverse waveRequires a mediumParticles move at right anglesSound Waves
Mechanical waveParticles move back and forthLongitudinal waveCompressional waveRequires a mediumWhat are longitudinal and transverse waves?Longitudinal waves are waves that the direction of the vibration of the wave is in the same direction of the travel of the particles of the medium.
Example of longitudinal waves are sound waves.
Transverse waves are waves that the direction of the vibration of the wave is perpendicular to the direction of the travel of the particles of the medium.
Example of transverse waves are water waves.
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Danny sails a boat downstream. The wind pushes the boat along at 21 km/hr. The current runs downstream at 15 km/hr. What is the actual velocity of the boat?
1.4 km/hr, downstream
6.0 km/hr, downstream
36 km/hr, downstream
310 km/hr, downstream
The actual velocity of the boat is 36 km/hr, downstream. Option C.
Solution:
Water velocity, v = 15 km/h
Downstream boat velocity, u = 21 km/h
Boat actual velocity = v'
v' = v + u
⇒ v' = 15 km /h + 21 km/h
u = 21 km/h +15 km/h = 36.0 km/h downstream.
At first glance, the sea looks flat but it is not. If you look closely wind, current, and wave action affect the six movements of the ship: heave, pitch sway roll pitch, and yaw. Relative velocity is defined as the velocity of object B in the still frame of another object A. The SI unit for velocity is meters per second m/s. Alternatively, velocity magnitudes can be expressed in centimeters per second cm/s.
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This doesn’t make sense, there is no angle so I can’t use Fnet=mgcos(theta) and can’t find acceleration in a=mgsin(theta).
The magnitude of the net force on the block while it is sliding is 9.8 N.
What is the angle of inclination of the plane?
The angle of inclination of the plane is calculated by applying the principle of trigonometry ratio.
Considering the vertical height (10 m) and length of the incline (20 m);
sin θ = 10 m / 20 m
sin θ = 1/2
sin θ = 0.5
θ = arc sin(0.5)
θ = 30⁰
The magnitude of the net force on the block while it is sliding is calculated as follows;
F(║) = F(net) = mg sinθ
where;
m is mass of the blockg is acceleration due to gravityF(║) implies parallel force, since there is no friction on the inclineF(net) = (2 x 9.8) x sin(30)
F(net) = 9.8 N
Thus, the net force on the block is the parallel component of the weight of the block.
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The motion of an object can be described by its speed direction
The motion of an object can be described by its speed, position and direction. Option D
What is motion?Th term motion has to do with the change in the position of an object. We have to note that if an object changes its position within a given time interval then we can say that the object has moved.
The rate at which an object moves is called the speed of the object. If the object move fast then the speed of the object is high. If the the object moves slowly then the object has a quite low speed.
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Missing parts;
The motion of an object can be described by its
A.
speed.
B. position.
c.
direction.
D.
all of these
A cannon fires a cannon ball vertically into the air. Find the initial velocity if the cannon ball reached the height of 4.75 meters.
The initial velocity of the cannon ball when it reached a height of 4.75 m is 9.65 m/s.
What is velocity?Velocity can be defined as the rate of change of displacement.
To calculate the initail velocity of the cannon ball, we use the formula below.
Formula:
v² = u²+2gH......... Equation 1Where:
v = Final velocityu = Initial velocity H = Heightg = Acceleration due to gravity.From the question,
Given:
v = 0 m/s (At the maximum height)H = 4.75 mg = 9.8 m/sSubstitute these values into equation 1
0² = u²+2×9.8×4.75u² = 93.1u = √(93.1)u = 9.65 m/sHence, the initial velocity of the cannon ball is 9.65 m/s.
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