Question 1

A train moves along a straight track at a constant speed. Which of the following statements best describes its motion?

Accepted Answer

The train's position vs. time graph is a straight line, and its velocity is constant.

Question 2

If the position of an object is given by $$s(t) = 2t^2$, what is its velocity at t = 3$ s?

Accepted Answer

$$v = 12 m/s$$

Question 3

Which of the following is true about the slope of a position vs. time graph?

Accepted Answer

Negative slopes correspond to negative velocities.

Question 4

A car moves with constant acceleration. Which equation gives its final velocity after a time interval $$\Delta t$$?

Accepted Answer

$$v_f = v_i + a \Delta t$$

Question 5

An object starts from rest and accelerates at $$5 m/s$^2$$ for $$4$$ seconds. What is its final velocity?

Accepted Answer

$$v_f = 20 m/s$$

Question 6

Which of the following best describes the area under a velocity vs. time graph?

Accepted Answer

It represents the object's displacement.

Question 7

A drag racer accelerates from rest with a constant acceleration. If the velocity vs. time graph is a straight line, what is the area under the curve from $$t_i to$$ $$t_f$$?

Accepted Answer

The area is equal to $$\frac{1}{2} a \Delta t^2$

Question 8

Which kinematic equation relates final velocity, initial velocity, acceleration, and displacement, but does not involve time?

Accepted Answer

$$v_f^2$ = v_i^2$ + 2a \Delta s$$

Question 9

A springbok accelerates at $$35 m/s$^2$$ for $$0.70 m as $$its legs straighten. What kinematic equation would you use to find its takeoff velocity?

Accepted Answer

$$v_f^2$ = v_i^2$ + 2a \Delta s$$

Question 10

An object slides down an inclined plane with angle $$	heta. $$What is the acceleration along the incline?

Accepted Answer

$$a = g \sin 	heta$$

Question 11

If the velocity of a particle is given by $$v(t) = 4t$$, what is the displacement from $$t = 0 to$$ $$t = 3 s$$?

Accepted Answer

$$\Delta s = 18 m$$

Question 12

A feather and an apple are dropped in a vacuum from the same height. Which statement is correct?

Accepted Answer

Both hit the ground at the same time because air resistance is absent.

Question 13

Which of the following is a vector quantity?

Accepted Answer

Velocity

Question 14

A car's velocity vs. time graph has a constant positive slope. What does this indicate about the car's motion?

Accepted Answer

The car is accelerating at a constant rate.

Question 15

If the acceleration vs. time graph is a horizontal line at $$a_s$$, what is the velocity vs. time graph?

Accepted Answer

A straight line with slope $$a_s$$

Question 16

Which equation would you use to find the displacement of an object moving with constant acceleration, given initial velocity, acceleration, and time?

Accepted Answer

$$s_f = s_i + v_i \Delta t + \frac{1}{2} a \Delta t^2$

Question 17

A car speeds up from rest until it reaches a steady cruising speed. What does the slope of the velocity graph represent?

Accepted Answer

The car's acceleration

Question 18

If you have a graph of acceleration vs. time, how can you find the change in velocity over a time interval?

Accepted Answer

By finding the area under the curve

Question 19

Which of the following is NOT a limitation of the uniform motion model?

Accepted Answer

It can describe motion with constant acceleration.

Question 20

A Porsche reaches 30 m/s in 6 s, while a VW takes 15 s to reach the same speed. What is the average acceleration of the Porsche?

Accepted Answer

$$a_{avg} = 5.0 m/s$^2$$

Kinematics in One Dimension: Motion, Velocity, and Acceleration

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