Question 1

A car moves along a straight road such that its position as a function of time is given by $$x(t) = 4t^2$ + 2t + 1 (in $$meters, with $$t in $$seconds). What is the car's instantaneous velocity at $$t = 3 s$$?

Accepted Answer

$$v = 26 m/s$$

Question 2

Which of the following statements about free fall is correct?

Accepted Answer

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

Question 3

A train travels 12 km in 10 minutes at constant speed. How long will it take to travel 60 km at the same speed?

Accepted Answer

50 minutes

Question 4

The area under a velocity-versus-time graph represents:

Accepted Answer

The displacement of the object

Question 5

A ball is thrown straight up with an initial velocity of $$v_0 = 10$ m/s. Neglecting air resistance, what is the velocity of the ball when it returns to its starting point?

Accepted Answer

$$-10 m/s$$

Question 6

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

Accepted Answer

$$v = 24 m/s$$

Question 7

A position-versus-time graph is a straight line with a negative slope. What does this indicate about the object's motion?

Accepted Answer

The object is moving with constant negative velocity.

Question 8

A 1-kg ball and a 10-kg ball are dropped from the same height in a vacuum. Which statement is true?

Accepted Answer

Both balls hit the ground at the same time.

Question 9

A car slows down while moving to the right. What is the sign of its acceleration?

Accepted Answer

Negative

Question 10

A cyclist riding at 20 mph comes to a stop in 4 s, then accelerates to 15 mph in 6 s. Which of the following best describes the acceleration during the first 4 seconds?

Accepted Answer

Negative acceleration (deceleration)

Question 11

A drag racer starts from rest and travels 6.0 m in 1.0 s. If the acceleration remains constant, how far will the car travel in 5.0 s?

Accepted Answer

150 m

Question 12

Which equation correctly relates displacement, initial velocity, acceleration, and time for constant acceleration?

Accepted Answer

$$x_f = x_i + v_i \Delta t + \frac{1}{2} a (\Delta t)^2$

Question 13

A ball is tossed straight up. At its highest point, what is its acceleration?

Accepted Answer

$$-9.8 m/s$^2$$

Question 14

A Boeing 747 accelerates at $$2.6 m/s$^2$$ from rest to a takeoff speed of $$70 m/s. $$What is the minimum runway length required?

Accepted Answer

940 m

Question 15

If $$y is $$proportional to $$x^2$$, and $$x is $$doubled, what happens to $$y$$?

Accepted Answer

$$y$$ increases by a factor of 4

Question 16

A velocity-versus-time graph for an object is a straight line with a positive slope. What does this indicate?

Accepted Answer

The object is accelerating at a constant rate.

Question 17

A car moving at 15 m/s comes to rest in 1.5 s with constant acceleration. What is the magnitude of its acceleration?

Accepted Answer

$$10 m/s$^2$$

Question 18

A springbok jumps straight up with an initial speed of $$7.0 m/s. $$What is the maximum height it reaches? (Use $$g = 9.8 m/s$^2)$$

Accepted Answer

$$2.5 m$$

Question 19

Which of the following is an example of uniform motion?

Accepted Answer

A hockey puck sliding in a straight line at constant speed.

Question 20

A car's velocity changes from $$10 m/s to$$ $$30 m/s in$$ $$4 s. $$What is its average acceleration?

Accepted Answer

$$5 m/s$^2$$

Chapter 2: Motion in One Dimension – Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards