Question 1

A car moves along a straight road at a constant velocity of 15 m/s for 10 seconds. What is the car's displacement during this time?

Accepted Answer

$$150\ \mathrm{m}$$

Question 2

Which of the following statements about uniform motion is correct?

Accepted Answer

The object's position-versus-time graph is a straight line.

Question 3

A runner jogs 100 m east, then 40 m west. What is the runner's total distance traveled and displacement?

Accepted Answer

Distance: $$140\ \mathrm{m}$$, Displacement: $$60\ \mathrm{m}$$ east

Question 4

The position of a particle is given by $$x(t) = 4t^2$ + 2t. $$What is its instantaneous velocity at $$t = 3\ \mathrm{s}$$?

Accepted Answer

$$v = 26\ \mathrm{m/s}$$

Question 5

A ball is dropped from rest and falls freely under gravity. What is its velocity after 5 seconds? (Assume $$g = 9.8\ \mathrm{m/s^2$}$$ downward.)

Accepted Answer

$$v = -49\ \mathrm{m/s}$$

Question 6

Which of the following best describes the difference between speed and velocity?

Accepted Answer

Speed is a scalar quantity; velocity is a vector quantity.

Question 7

A car accelerates from rest at $$a = 3\ \mathrm{m/s^2$}$$ for 8 seconds. What is its final velocity?

Accepted Answer

$$v = 24\ \mathrm{m/s}$$

Question 8

A drag racer starts from rest and accelerates at $$12\ \mathrm{m/s^2$}$$ for $$3\ \mathrm{s}. $$What is the displacement during this time?

Accepted Answer

$$x = 54\ \mathrm{m}$$

Question 9

An elevator's position-versus-time graph has a section with zero slope. What does this indicate about the elevator's motion?

Accepted Answer

The elevator is at rest during this interval.

Question 10

A springbok jumps straight up with an initial velocity of $$7.0\ \mathrm{m/s}. $$Ignoring air resistance, what is the maximum height reached? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$h = 2.5\ \mathrm{m}$$

Question 11

A car's velocity-versus-time graph is a straight line with a positive slope. What does this indicate about the car's motion?

Accepted Answer

The car is accelerating at a constant rate.

Question 12

A ball rolls up a ramp and then back down. What is the sign of its acceleration along the ramp during both motions?

Accepted Answer

Acceleration is negative throughout.

Question 13

A particle's velocity is given by $$v(t) = 6t. $$What is its acceleration at $$t = 4\ \mathrm{s}$$?

Accepted Answer

$$a = 6\ \mathrm{m/s^2$}$$

Question 14

A car starts at $$x = 0$$ with a velocity of $$10\ \mathrm{m/s}$$ and experiences an acceleration shown as a constant $$4\ \mathrm{m/s^2$}$$ for $$4\ \mathrm{s}$$, then $$2\ \mathrm{m/s^2$}$$ for another $$4\ \mathrm{s}. $$What is its velocity at $$t = 8\ \mathrm{s}$$?

Accepted Answer

$$v = 34\ \mathrm{m/s}$$

Question 15

A Volkswagen Beetle moves at $$20\ \mathrm{m/s}$$ and passes a Porsche at rest. The Porsche accelerates at $$5.0\ \mathrm{m/s^2$}. $$How far does the Porsche travel before overtaking the Beetle?

Accepted Answer

$$160\ \mathrm{m}$$

Question 16

Which of the following is the correct kinematic equation for displacement under constant acceleration?

Accepted Answer

$$x = x_0$ + v_0$ t + \frac{1}{2} a t^2$

Question 17

A rock is thrown straight up with velocity $$v_0. $$What is its velocity when it returns to the original height (neglecting air resistance)?

Accepted Answer

$$-v_0$

Question 18

On an inclined plane at angle $$	heta$$, what is the acceleration of a sliding object (neglecting friction)?

Accepted Answer

$$a = g \sin 	heta$$

Question 19

The area under a velocity-versus-time graph between $$t_1$$ and $$t_2$$ represents:

Accepted Answer

The object's displacement during that interval.

Kinematics in One Dimension: Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards