Question 1

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

Accepted Answer

$$v = 9 m/s$$

Question 2

Which of the following statements about the relationship between position, velocity, and acceleration graphs is correct?

Accepted Answer

The slope of the position graph gives the velocity.

Question 3

A drag racer’s velocity is given by $$v_x = 4t m/s. $$How far does the racer move during the first 3.0 s?

Accepted Answer

$$18 m$$

Question 4

A rock is dropped from the top of a 20-m-tall building. What is its impact velocity? (Assume $$g = 9.8 m/s$^2$$ and ignore air resistance.)

Accepted Answer

$$v = 19.8 m/s$$

Question 5

A car moves with a constant velocity of $$10 m/s $$for $$5$$ seconds. What is the total displacement?

Accepted Answer

$$50 m$$

Question 6

Which of the following best describes the motion of an object in free fall near the surface of the Earth (neglecting air resistance)?

Accepted Answer

The object accelerates downward at a constant rate.

Question 7

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

Accepted Answer

The car is slowing down.

Question 8

A ball is tossed straight up in the air. At its very highest point, the ball’s instantaneous acceleration is:

Accepted Answer

Negative

Question 9

A bicyclist has a velocity of $$6 m/s $$and a constant acceleration of $$2 m/s$^2. $$What is her velocity $$2$$ seconds later?

Accepted Answer

$$10 m/s$$

Question 10

Which of the following is the correct kinematic equation for an object moving with constant acceleration?

Accepted Answer

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

Question 11

A car starts from rest and accelerates uniformly at $$3 m/s$^2$$ for $$4$$ seconds. What is its final velocity?

Accepted Answer

$$12 m/s$$

Question 12

If the velocity of an object is zero at some instant, which of the following must be true?

Accepted Answer

The object has changed direction or is momentarily at rest.

Question 13

A train travels east at $$60$$ mph from Chicago and another train travels west at $$40$$ mph from Pittsburgh, $$400$$ miles apart. How far from Chicago do they meet?

Accepted Answer

$$240$$ miles

Question 14

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

Accepted Answer

Displacement

Question 15

A car’s position-versus-time graph is a straight line with a positive slope. What does this indicate?

Accepted Answer

The car is moving at a constant velocity.

Question 16

Which of the following is the correct expression for the instantaneous acceleration $$a_s$$?

Accepted Answer

$$a_s = \frac{dv_s}{dt}$$

Question 17

A car accelerates from rest at $$2 m/s$^2$$ for $$10$$ seconds. What is the total distance traveled?

Accepted Answer

$$100 m$$

Question 18

Which of the following is true about the acceleration due to gravity $$g$$?

Accepted Answer

$$g is $$always positive and is the magnitude of the acceleration due to gravity.

Question 19

A car’s velocity changes from $$10 m/s to$$ $$-10 m/s in$$ $$5$$ seconds. What is its average acceleration?

Accepted Answer

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

Question 20

Which of the following best describes the use of calculus in kinematics?

Accepted Answer

Acceleration is the derivative of velocity.

Kinematics in One Dimension: Structured Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards