Given the particle's acceleration is
[tex]\vec a(t) = \left(3\dfrac{\rm m}{\mathrm s^2}\right)\vec\jmath[/tex]
with initial velocity
[tex]\vec v(0) = \left(5\dfrac{\rm m}{\rm s}\right)\,\vec\imath[/tex]
and starting at the origin, so that
[tex]\vec r(0) = \vec 0[/tex]
you can compute the velocity and position functions by applying the fundamental theorem of calculus:
[tex]\vec v(t) = \vec v(0) + \displaystyle \int_0^t \vec a(u)\,\mathrm du[/tex]
[tex]\vec r(t) = \vec r(0) + \displaystyle \int_0^t \vec v(u)\,\mathrm du[/tex]
We have
• velocity at time t :
[tex]\vec v(t) = \left(5\dfrac{\rm m}{\rm s}\right)\,\vec\imath + \displaystyle \int_0^t \left(3\dfrac{\rm m}{\mathrm s^2}\right)\,\vec\jmath\,\mathrm du \\\\ \vec v(t) = \left(5\dfrac{\rm m}{\rm s}\right)\,\vec\imath + \left(3\dfrac{\rm m}{\mathrm s^2}\right)t\,\vec\jmath \\\\ \boxed{\vec v(t) = \left(5\dfrac{\rm m}{\rm s}\right)\,\vec\imath + \left(3\dfrac{\rm m}{\mathrm s^2}\right)t\,\vec\jmath}[/tex]
• position at time t :
[tex]\vec r(t) = \displaystyle \int_0^t \left(\left(5\dfrac{\rm m}{\rm s}\right)\,\vec\imath + \left(3\dfrac{\rm m}{\mathrm s^2}\right)u\,\vec\jmath\right) \,\mathrm du \\\\ \boxed{\vec r(t) = \left(5\dfrac{\rm m}{\rm s}\right)t\,\vec\imath + \frac12 \left(3\frac{\rm m}{\mathrm s^2}\right)t^2\,\vec\jmath}[/tex]
What phase of matter has the highest energy?
Answer:
plasma is the state with the highest energy level.
In the early twentieth century, _______ redefined psychology as "the science of observable behavior."
A. John B. Watson
B. Abraham Maslow
C. William James
D. Sigmund Freud
Explanation:
Answer :
A. John B. Watson
You are making a round trip from City A to City B and back to City A again at constant speed. At what point in the trip is your average
speed equal to three times the magnitude of your average velocity?
We have that at a point where the final velocity opposes the initial velocity to divide the total distance into 3 i.e
For
[tex]Total Distance=d_t[/tex]
[tex]Speed =3* Velocity[/tex]
at
[tex]d=d_t/3[/tex]
Generally
Speed refers to the distance covered at a specific time rate.
While
Velocity takes into account the direction of motion of traveling body
Therefore
For a distance Through and fro city A and B a specific distance is traveled with a specific time
The Question being at what point or position is the
Speed =3* Velocity
Since the Velocity takes into account the direction
The Magnitude of velocity through and fro is equal to zero as
Therefore
Speed =3* Velocity
At a position where the final velocity opposes the initial velocity to divide the total distance into 3 i.e
For
[tex]Total Distance=d_t[/tex]
[tex]Speed =3* Velocity[/tex]
at
[tex]d=d_t/3[/tex]
For more information on this visit
https://brainly.com/question/17127206
Write any three condition required for nuclear fussion that are found in the sun.
Answer:
High pressure squeezes the hydrogen atoms together. They must be within 1x10-15 meters of each other to fuse. The sun uses its mass and the force of gravity to squeeze hydrogen atoms together in its core. We must squeeze hydrogen atoms together by using intense magnetic fields, powerful lasers or ion beams.
c. A car was running with a velocity of 20m/s. what will be its velocity after 30s if it's acceleration is 5m/s2
[tex] \large \mathfrak{Solution : }[/tex]
let's use first equation of motion to solve this ;
[tex] \boxed{ \boxed{ v = u + at}}[/tex][tex]v = 20 + (5 \times 30)[/tex][tex]v = 20 + 150[/tex][tex]v = 170 \: \: m/s[/tex]Velocity after 30 seconds = 170 m/s
Being willing to sincerely apologize for mistakes errors and blunders goes a long way toward
Answer:
All of the above ! Hope this helps! ♥
Explanation:
Being willing to sincerely apologize for mistakes, errors, and blunders goes a long way toward nurturing relationships with customers and retaining customers. Option (c) is correct.
What do you mean by Apology?Apology means to express regret for having done something that has caused another person problems or misery
Sincere apology aids in mending ties with those you've harmed. That may include coworkers, customers, friends, or family.
You can start a conversation with the other person by owning up to your error. You can then consider your actions and accept responsibility for them. Also, they can deal with their emotions, regain their composure, and refrain from taking responsibility for what transpired.
You may improve your behavior going forward, keep your dignity, and regain people's respect by apologizing.
Therefore, Option (c) is correct.
Learn more about Apology, here
https://brainly.com/question/16047013
#SPJ6
Your question is incomplete, most probably the complete question will be;
Being willing to sincerely apologize for mistakes, errors, and blunders goes a long way toward:
Helping to learn from mistakes
Helping nurture the relationship with customers
Retaining customers
All of the above
A car has a speed of 32 m/s. What is its speed in km/h?
Answer:
The speed of 32m/s would be 115.2 in km/h
Answer:
Explanation:
32 m/s (3600 s/ 1 hr)(1 km/1000 m) = 115.2 km/hr
Write three or four sentences to describe the process by which the sound of a book dropped on a desk reaches your ear. (3 points)
Who is your favorite fictional character and why? Who is your favorite non-fictional person and why?
*GIVING BRAINLIST*
Which scenario most likely shows how a scientist can use creativity?
1.) A scientist changes the design of a wine-making machine so it can be used to prints books.
2.) A scientist observes the movement of baseballs after they are thrown.
3.) A scientist conducts several trials when experimenting how fast chocolate melts in different containers.
4.) A scientist carefully measures the height of plants when given different amounts of water.
Answer:
I know I am way too late but I am 99.99% sure its A
Explanation:
Answer: ITS D, 100% SURE TRUST ME!!!!
A man walks his dog on a very straight path in a park. He can walk back and forth as slow or fast as he wants to, but he has to stay on the path. Which of the following statements is correct for an arbitrary time interval?
a. His average speed can be greater than the magnitude of his average velocity.
b. His average speed can be less than the magnitude of his average velocity.
c. Since he is walking along a straight path, his average acceleration must be zero.
d. His average velocity must be zero.
Answer:
a. His average speed can be greater than the magnitude of his average velocity.
Explanation:
As speed is distance traveled over time traveled, this is always greater than zero if he has moved at all.
velocity is displacement over time traveled. As the man is allowed to return to the point of origin, his velocity at some point might be zero while his speed is positive.
If for every kg of hydrogen converted to helium 0.0071 kg is converted to energy, what mass of hydrogen (in kg) must be consumed every second to fuel the Sun?
Answer:
Explanation:
630 trillion joules of energy
If there are 4 quarts in a gallon, convert 14 liters to gallons
USE THE LIQUID CONVERSION, not dry.
8.4
3.7
O 14.6
Answer:
3.70 gallons
Explanation:
3. The equation of motion of a SHM oscillator is x=0.5msin(2πf)t, where x is in meter and t is in seconds. If the position of the oscillator is at x=0.25m and t=0.25s . what is the frequency of the oscillator ?
Answer:
f = 1/3 Hz
Explanation:
0.25 = 0.5 sin(2πf)0.25
0.5 = sin(0.5πf)
take arcsine of both sides in radians
0.52359 = 0.5πf
f = 0.52359 / 0.5π = 0.33333...
The frequency of the oscillator is 0.33 Hz.
We have an equation of SHM.
We have to identify the frequency of the oscillator.
What are the conditions for a motion to be Simple Harmonic ?The conditions are -
The restoring force must be proportional to the displacement.The restoring force should act opposite to the direction of motion with no drag forces or friction.According to the question, we have -
x = 0.5 sin(2πft)
Substituting the values -
0.25 = 0.5 sin(2πft)
sin(2πft) = 0.5
sin(2πft) = 1/2
sin(2πft) = sin(π/6)
2πft = π/6
2ft = 1/6
f = [tex]\frac{1}{12t}[/tex] = [tex]\frac{1}{12\times 0.25}[/tex] = 0.33 Hz
f = 0.33 Hz
Hence, the frequency of the oscillator is 0.33 Hz
To solve more questions on Simple Harmonic Motion, visit the link below-
https://brainly.com/question/15023602
#SPJ2
N2 + 3H2 + 2NH3
What type of reaction is this
Answer:It is a combination reaction; nitrogen and hydrogen combine to form ammonia
Explanation:
This is the reaction that is used to make ammonia from hydrogen and nitrogen. In this reaction, only one product is formed. Therefore, this reaction is known as a combination reaction.
A pair of runners, A and B, are running on separate paths towards point 2 in the image. On both paths, point 1 is the same horizontal distance from point 2. The runners start and end at the same time on their respective paths. Which of the following is true about the runners' average speed and velocity? Select ALL that apply.
A. Both runners have the same velocity since they covered the same distance on the same amount of time.
B. Runner A has a greater speed since a greater distance was covered in the same amount of time
C. Runner B has a greater speed since a greater distance was covered in the same amount of time
D. Runner A has a greater velocity since the total displacement was greater than runner B
E. Runner B has greater velocity since the total displacement was greater than runner A
Answer:
C. Runner B has a greater speed since a greater distance was covered in the same amount of time.
Explanation:
Given information:
The time taken by both the runners A and B is same.
The horizontal distance (shortest distance or displacement) between point 1 and 2 is equal in both the paths.
From the given figure, the distance between point 1 and 2 in path B is more than that in path A.
Average velocity is the ratio of change in displacement with time and average speed is the ratio of total distance covered with time.
Now, the displacement between point 1 and 2 in both the paths is equal. and hence, the average velocity will also be same.
Average speed of runner B will be more as the distance covered by B is more then that by A.
Therefore, option C. Runner B has a greater speed since a greater distance was covered in the same amount of time is correct.
For more details, refer the link:
https://brainly.com/question/12322912?referrer=searchResults
The difference between vectors and scalars allows us to find that the correct answers are:
A. Both runners have the same velocity since they covered the same distance on the same amount of time
C. Runner B has a greater speed since a greater distance was covered in the same amount of time
Kinematics studies the movement of bodies, finding relationships between the position, velocity and acceleration of bodies
In general, the magnitudes of kinematics are vectors, which is why they have modulus and direction, therefore vector algebra must be used to perform the sum.
v = [tex]\frac{\Delta s}{\Delta t}[/tex]
The bold letters indicate vectors, v is the velocity, Δs the displacement (vector) and Δt the time (scalar)
In some cases scalar magnitudes are used, in kinematics they are given a different name: distance and speed.
v = [tex]\frac{\Delta s}{\Delta t}[/tex]
Where v is the speed, Δs the distance (scalar) and Δt the time (scalar)
This problem shows the difference between the two types of quantities
Let's look for the velocity of each runner.
They indicate that both leave point 1 and arrive at point 2, regardless of the intermediate paths, the displacement is the same.
They indicate that they arrive at the same time
v = [tex]\frac{\Delta s}{\Delta t}[/tex]
Consequently the velocity is the same for the two runners.
Let's look for speed
From the graph the distance of corridor B is greater than the distance traveled by corridor A
They indicate that the two arrive at the same time
[tex]v_a = \frac{\Delta x_a}{ \Delta t}[/tex]
[tex]v_b = \frac{\Delta x_b}{ \Delta t}[/tex]
[tex]v_a > v_b[/tex]
Let's analyze the different statements
A. True. Vector velocity is the same for both runners
B. False. The speed of corridor a is less
C. True. The speed of runner A is greater than the speed of runner B
D. False. Speed are equal
E. False The speed is the same.
In conclusion with the difference between vectors and scalars we can find that the correct answers are:
A. Both runners have the same velocity since they covered the same distance on the same amount of time
C. Runner B has a greater speed since a greater distance was covered in the same amount of time
Learn more about vectors and scalars here:
https://brainly.com/question/21925479
For each indicated point on the trajectory, place the vectors that qualitatively represent the relative velocity and acceleration of a ball that is thrown straight up, from the time it is thrown to the time it is caught. Note that the horizontal displacement of the ball is only for visual clarity. The vector for the acceleration due to gravity is at the bottom right of the figure for reference.
The direction of the velocity of an object is always in the direction of the object's motion while the acceleration due to gravity is always directed downwards.
The direction of velocity of an object projected upwards points upwards from the starting position until the object reaches maximum height, from the maximum height the velocity points downwards and this velocity increases until the object hits the ground.
The object attains maximum velocity before hitting the ground.At the maximum height the final velocity of the object is zeroThe acceleration due to gravity doesn't always point in the direction of the object's motion, in fact the direction of the acceleration due to gravity is always downwards.
In the given charts we are going to represent the direction of the velocity and acceleration as follows;
Upward direction of the velocity
+v ↑ ↑ ↑ . maximum height
↑ ↑ ↑
↑ ↑
↑
Ground level
downward direction of the velocity is as follows;
-v ↓ ↓ ↓ . maximum height
↓ ↓ ↓
↓ ↓
↓
Ground level
The direction of the acceleration due to gravity is as follows;
↓ -g
↓
↓
↓
Learn more here: https://brainly.com/question/14113276
What is the initial velocity for a zombie that accelerates uniformly at 6.1 m/s2 for 7.0
seconds along a 15 m path?
Answer:
Therefore, the initial velocity of zombie is 19.2 m/s.
Explanation:
Given:
The acceleration of motion of zombie is [tex]a=6.1 \rm{m/s^{2}}[/tex]
Zombie accelerates for [tex]t=7\rm{s}[/tex]
The distance covered by the zombie is [tex]s=15\rm{m}[/tex]
To find the initial velocity [tex]u[/tex] of the motion, use the second equation of motion,
[tex]s=ut+\frac{1}{2}st^{2}[/tex]
[tex]15=u\times7+\frac{1}{2}6.1\times(7)^{2}\\u=-19.2\rm{m/s}[/tex]
Therefore, the initial velocity of zombie is 19.2 m/s.
For more details, refer the link:
https://brainly.com/question/13883874?referrer=searchResults
If the displacement of an object is given in SI units by Dx = -3 t + 4 t 2, at t = 2 s its velocity and acceleration are, respectively:
a) positive, positive.
b) negative, positive.
c) negative, negative.
d) positive, negative.
(A)
Explanation:
If the displacement is given by
[tex]D_x = -3t + 4t^2[/tex]
Then its velocity [tex]v_x[/tex] and acceleration [tex]a_x[/tex] are then
[tex]v_x = \dfrac{dD_x}{dt} = -3 + 8t[/tex]
[tex]a_x = \dfrac{dv_x}{dt} = 8[/tex]
Evaluated at t = 2, we see that [tex]v_x = 13[/tex] and [tex]a_x = 8[/tex] and both of them are positive. Therefore, the answer (a).
Answer:
QUESTION
If the displacement of an object is given in SI units by Dx = -3 t + 4 t 2, at t = 2 s its velocity and acceleration are, respectively:
[tex]==============================[/tex]
ANSWER
a) positive, positive
[tex]==============================[/tex]
#CarryOnLearning
(◕ᴗ◕✿)
1. Calculate the height of tree, 250 m away that produces
an image 1.5cm high
in a
pin-hole camera of width 30 cm.
Answer:
Explanation:
1.5/30 = x/250
x = 12.5 m
A highly volatile substance has an initial mass of 1200 g and its mass is reduced by 12% each second. a Write a formula that gives the mass of the substance (m) at time (t) seconds. b Rearrange this formula to make t the subject. C What mass remains after 10 seconds, correct to 2 decimal places? d Calculate how long (to the nearest second) it takes until the mass is 10 grams. e After how many seconds (to the nearest second) is the mass less than 1 gram?
Answer:i couldn't understand the question please give a better question
Explanation:
Bắt đầu từ giá trị nào của động năng của các electron thì sai số về bước sóng de Broglie trong quá trình tính toán theo cổ điển sẽ vào cỡ 10%
Answer:
no idea what this means
Explanation:
yeah
Diffrence between MeV and meV?
Answer:
Difference between MeV and meV?
1 MV = 1000000 volts. 1 MeV stands for million electron volts. It is a unit of energy. 1 MeV = 1.60217653 x 10 13
Explanation:
hope this helps <3
Which statement about an atom is correct
what is kinematics ??
how do we spell it ??
don't spam !! xD
Answer:
Kinematics is the study of motion.
Answer:
Kinematics is the branch of classical mechanics that describes the motion of points, objects and systems of groups of objects, without reference to the causes of motion (i.e., forces ). The study of kinematics is often referred to as the “geometry of motion.”explain 3points to be taken into consideration while measuring the length of a body
Answer:
Y T and v
Explanation:
write therelationship between si unit and cgs unit of force
Explanation:
The si unit of force is kgm/s²
the unit of cgs of force is gcm/m²
Which two vectors when added will have the largest positive x component?
Answer:
The Number is concept. It is depending with what you mean by infinity. Some of the numbers include 1 through 2 or infinite. If you work with vector space of tuples with any components could be infinite you just know what typed of infinity work with.
Explanation:
May you have a bless day. And send positive all over the world.
distinguish between basic and derived units
Answer:
Base units are defined units based on specific objects or events in the physical world. Derived units are defined by combining base units.
Base units are defined by a particular process of measuring a base quantity whereas derived units are defined as algebraic combinations of base units. For example, length is a base quantity in both SI and the English system, but the meter is a base unit in the SI system only.
Explain how global warming is a result of fossil fuel consumption in recent years
hi <3
fossil fuel consumption has increased in recent years due to many countries industrializing and becoming more advanced. burning fossil fuels releases greenhouse gases which trap radiation within the atmosphere and heat up the planet
hope this helps :)
