Question 1

Which of the following best describes the difference between distance and displacement for an object moving along a straight line?

Accepted Answer

Distance is the total length of the path traveled, while displacement is the straight-line change in position from start to finish.

Question 2

An ant starts at $$x = 40\ \mathrm{cm}$$, crawls to $$x = 10\ \mathrm{cm}$$, then returns to $$x = 40\ \mathrm{cm}. $$What is its total displacement?

Accepted Answer

$$0\ \mathrm{cm}$$

Question 3

If an object moves with constant velocity, which of the following statements is true?

Accepted Answer

Its position vs. time graph is a straight line with constant slope.

Question 4

The instantaneous velocity of an object at a given time is:

Accepted Answer

The slope of the tangent to the position vs. time graph at that time.

Question 5

A car moves with a velocity given by $$v = -2\ \mathrm{m/s}$$ for $$2\ \mathrm{s}$$, then stops for $$2\ \mathrm{s}$$, then moves at $$+5\ \mathrm{m/s}$$ for $$2\ \mathrm{s}. $$What is the total displacement after $$6\ \mathrm{s}$$?

Accepted Answer

$$6\ \mathrm{m} in $$the negative direction

Question 6

Which of the following equations gives the final position $$x_f$$ for an object moving with constant velocity $$v$$ from initial position $$x_i$$ over a time interval $$t_f - t_i$$?

Accepted Answer

$$x_f = x_i + v (t_f - t_i)$$

Question 7

The area under a velocity vs. time graph between $$t_1$$ and $$t_2$$ represents:

Accepted Answer

The displacement of the object during that time interval.

Question 8

A rock is dropped from a $$20\ \mathrm{m}$$ tall building. What is its impact velocity? (Assume $$g = 9.8\ \mathrm{m/s^2$}$$ and downward is negative.)

Accepted Answer

$$-20\ \mathrm{m/s}$$

Question 9

Which of the following is the correct kinematic equation for displacement $$\Delta s$$ under constant acceleration $$a$$ and initial velocity $$v_i$$ over time $$t$$?

Accepted Answer

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

Question 10

On a frictionless inclined plane at angle $$	heta$$, the acceleration of a sliding object is:

Accepted Answer

$$a = g \sin 	heta$$

Question 11

If the velocity of an object is zero at the maximum of a smooth $$x vs$$. $$t$$ curve, what does this indicate about the motion?

Accepted Answer

The object reverses its direction of motion at this point.

Question 12

Which of the following is NOT a classical simple machine?

Accepted Answer

Spring

Question 13

A velocity vs. time graph for an object is a straight line with a positive slope. What does this indicate about the object's motion?

Accepted Answer

The object is accelerating at a constant rate.

Question 14

Which of the following best describes the relationship between the derivative and the integral in kinematics?

Accepted Answer

The derivative of position with respect to time gives velocity, and the integral of velocity with respect to time gives displacement.

Question 15

A ball rolls up a ramp and then back down. If the positive direction is up the ramp, what is the sign of the acceleration while the ball is rolling up?

Accepted Answer

Negative

Question 16

Which of the following is the correct expression for the final velocity $$v_f of an $$object under constant acceleration $$a$$ after time $$t$$, starting from initial velocity $$v_i$$?

Accepted Answer

$$v_f = v_i + a t$$

Question 17

A velocity vs. time graph consists of a horizontal line at $$v = 4\ \mathrm{m/s}$$ from $$t = 0 to$$ $$t = 2\ \mathrm{s}$$, then a straight line decreasing to $$v = 0 at$$ $$t = 4\ \mathrm{s}. $$What is the total displacement from $$t = 0 to$$ $$t = 4\ \mathrm{s}$$?

Accepted Answer

$$8\ \mathrm{m}$$

Question 18

Which of the following statements about free fall is correct?

Accepted Answer

All objects in free fall near Earth's surface experience the same acceleration regardless of mass.

Question 19

If the acceleration of an object is zero, which of the following must be true?

Accepted Answer

The object moves with constant velocity.

Kinematics in One Dimension: Structured Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards