Question 1

A passenger walks toward the back of a train at 2 m/s relative to the train. The train moves forward at 20 m/s relative to the ground. What is the passenger's velocity relative to the ground?

Accepted Answer

$$18\ \mathrm{m/s}$$\ (forward)

Question 2

A runner moves from $$x_1 = 50.0$$\ \mathrm{m}$$ to x_2$ = 30.5\ \mathrm{m} in$$ $$3.00\ \mathrm{s}. $$What is the runner’s average velocity?

Accepted Answer

$$-6.50\ \mathrm{m/s}$$

Question 3

Which of the following best describes the difference between distance and displacement?

Accepted Answer

Distance is the total path length traveled; displacement is the straight-line change in position.

Question 4

A cyclist travels at an average velocity of $$18\ \mathrm{km/h}$$ for $$2.5\ \mathrm{h}. $$How far does she travel?

Accepted Answer

$$45\ \mathrm{km}$$

Question 5

A car accelerates from rest to $$75\ \mathrm{km/h} in$$ $$5.0\ \mathrm{s}. $$What is the magnitude of its average acceleration in $$\mathrm{m/s^2$}$$?

Accepted Answer

$$4.17\ \mathrm{m/s^2$}$$

Question 6

A ball is dropped from rest. How far does it fall in $$2.00\ \mathrm{s}$$? (Ignore air resistance, $$g = 9.80\ \mathrm{m/s^2$})$$

Accepted Answer

$$19.6\ \mathrm{m}$$

Question 7

Which equation gives the position $$x of an $$object under constant acceleration $$a$$, initial velocity $$v_0$$, and initial position $$x_0$$ after time $$t$$?

Accepted Answer

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

Question 8

A car starts from rest and accelerates at $$2.00\ \mathrm{m/s^2$}. $$How long does it take to cross a $$30.0\ \mathrm{m}$$ intersection?

Accepted Answer

$$3.87\ \mathrm{s}$$

Question 9

An airplane must reach $$27.8\ \mathrm{m/s} to $$take off and can accelerate at $$2.00\ \mathrm{m/s^2$}. $$What is the minimum runway length required?

Accepted Answer

$$193.2\ \mathrm{m}$$

Question 10

Which of the following statements about acceleration is correct?

Accepted Answer

Acceleration is the rate of change of velocity.

Question 11

A car moving east at $$15.0\ \mathrm{m/s}$$ slows down to $$5.0\ \mathrm{m/s} in$$ $$5.0\ \mathrm{s}. $$What is its acceleration?

Accepted Answer

$$-2.0\ \mathrm{m/s^2$}$$

Question 12

Which of the following is true about freely falling objects near Earth's surface (ignoring air resistance)?

Accepted Answer

All objects fall with the same acceleration regardless of mass.

Question 13

A car moves with constant velocity. What does the position vs. time graph look like?

Accepted Answer

A straight line with constant slope.

Question 14

If a car’s velocity changes from $$-15.0\ \mathrm{m/s} to$$ $$-5.0\ \mathrm{m/s} in$$ $$2.0\ \mathrm{s}$$, what is the direction of its acceleration?

Accepted Answer

In the positive direction.

Question 15

Which equation would you use to find the final velocity of an object under constant acceleration if you know the initial velocity, acceleration, and displacement?

Accepted Answer

$$v^2$$ = $$v_0^2 + 2a(x$$ - $$x_0$$)$$

Question 16

A ball is dropped from a tower. How far does it fall in $$3.00\ \mathrm{s}$$? ($$g = 9.80\ \mathrm{m/s^2$}$$, ignore air resistance)

Accepted Answer

$$44.1\ \mathrm{m}$$

Kinematics in One Dimension: Describing Motion with Calculus

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