37 Questions
What is the unit of initial velocity in equations of motion?
m · s⁻¹
Which of the following represents the acceleration in the equations of motion?
a
What is the purpose of the equations of motion?
To provide a precise way to analyze motion with constant acceleration
Which equation of motion relates the final velocity to the initial velocity and acceleration?
First Equation of Motion
What is the symbol for displacement in the equations of motion?
Δx
Which equation of motion relates the displacement to the initial and final velocities?
Second Equation of Motion
What is the unit of time interval in the equations of motion?
s
How many equations of motion are there for motion with constant acceleration?
4
What is the variable that remains constant in motion with constant acceleration?
Acceleration
What is the equation that relates the final velocity to the initial velocity and time?
vf = vi + at
Which equation of motion can be used to find the displacement of an object if the initial and final velocities are known?
Δx = (vf + vi)t/2
What is the purpose of the convention that uses vi and vf to represent initial and final velocities?
To distinguish between initial and final velocities
Which of the following is not a variable used in the equations of motion?
Mass
What is the unit of the acceleration in the equations of motion?
m/s^2
Which equation of motion can be used to find the final velocity of an object if the initial velocity, acceleration, and displacement are known?
vf^2 = vi^2 + 2aΔx
What is the advantage of using equations of motion to describe motion?
They provide a precise and powerful way to analyze motion
What is the physical quantity represented by the symbol x in the equations of motion?
Displacement
Which of the following equations relates the displacement to the initial velocity, final velocity, and time?
x = (v_i + v_f)t/2
What is the physical quantity that remains constant in motion with constant acceleration?
Acceleration
Which of the following equations can be used to find the final velocity of an object if the initial velocity, acceleration, and time are known?
v_f = v_i + at
What is the relationship between the initial velocity and final velocity in the first equation of motion?
v_f = v_i + at
Which of the following equations can be used to find the displacement of an object if the initial velocity, acceleration, and time are known?
x = v_i t + (1/2)at^2
What is the purpose of the convention that uses v_i and v_f to represent initial and final velocities?
To distinguish between the initial and final velocities
Which of the following equations relates the final velocity to the initial velocity and displacement?
v_f^2 = v_i^2 + 2ax
What is the physical significance of the term $(\vec{v_i} + \vec{v_f})/2$ in the second equation of motion?
Average velocity of the object
An object moves with a constant acceleration of 2 m/s² from rest. If its final velocity is 10 m/s, what is the time taken to reach this velocity?
5 s
An object moves with a constant acceleration of 3 m/s². If its initial velocity is 5 m/s and it travels a distance of 20 m, what is its final velocity?
15 m/s
An object moves with a constant acceleration of -2 m/s² from an initial velocity of 10 m/s. If it travels a distance of 20 m, what is its final velocity?
4 m/s
What is the condition for an object to have a constant acceleration?
The object must be accelerating uniformly
An object moves with a constant acceleration of 4 m/s². If its initial velocity is 2 m/s and it travels a distance of 16 m, what is the time taken to cover this distance?
4 s
Which equation of motion is used to find the displacement of an object when the initial and final velocities are known?
Second equation of motion
An object moves with a constant acceleration of -5 m/s² from an initial velocity of 15 m/s. If the final velocity is 5 m/s, what is the time taken to reach the final velocity?
3 s
What is the physical quantity represented by the symbol Δx in the equations of motion?
Displacement
Which of the following equations of motion relates the final velocity to the initial velocity and acceleration?
v_f = v_i + at
What is the condition for an object to have a constant acceleration?
The object's acceleration must be constant over time
Which equation of motion can be used to find the time taken by an object to cover a certain distance?
Δx = v_i t + (1/2)at^2
What is the physical significance of the term (v_i + v_f)/2 in the second equation of motion?
It represents the average velocity of the object
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