Question 1

A motorcycle accelerates from rest at $$4.0\ \mathrm{m/s^2$}$$ for $$5.0\ \mathrm{s}$$, then travels at constant velocity. What is the velocity of the motorcycle at $$t = 5.0\ \mathrm{s}$$?

Accepted Answer

$$20.0\ \mathrm{m/s}$$

Question 2

Which kinematic equation would you use to find the displacement $$\Delta x of an $$object under constant acceleration, given initial velocity $$v_0$$, acceleration $$a$$, and time $$t$$?

Accepted Answer

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

Question 3

A ball is dropped from rest from a height of $$10\ \mathrm{m}$$ above the ground. Neglecting air resistance, how long does it take to reach the ground? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$0.45\ \mathrm{s}$$

Question 4

Which of the following statements about free fall is correct?

Accepted Answer

All objects in free fall near Earth's surface accelerate downward at $$g = 9.80\ \mathrm{m/s^2$}$$, neglecting air resistance.

Question 5

A lunar lander descends toward the Moon's surface with an initial downward velocity of $$3.0\ \mathrm{m/s}$$ from a height of $$5.0\ \mathrm{m}. $$What is the acceleration due to gravity on the Moon?

Accepted Answer

$$1.62\ \mathrm{m/s^2$}$$

Question 6

Given the kinematic equation $$v^2$$ = $$v_0^2 + 2a$$\Delta x$$, what is the final velocity v$ of an object that starts from rest and accelerates at 2$$\ \mathrm{$$m/s^2$$}$$ over a distance of 8$$\ \mathrm{m}$$?

Accepted Answer

$$v = 4\ \mathrm{m/s}$$

Question 7

Which graph best represents the velocity of an object moving with constant negative acceleration?

Accepted Answer

A straight line sloping downward

Question 8

An object is thrown downward with an initial velocity $$v_0$$ from a height $$h. $$Which equation gives the time $$t to $$reach the ground?

Accepted Answer

$$h = v_0$ t + \frac{1}{2} g t^2$

Question 9

A coin and a feather are dropped simultaneously in a vacuum. What happens?

Accepted Answer

Both reach the ground at the same time.

Question 10

If the velocity of an object is given by $$v(t) = v_0$ + at$$, what does the slope of a velocity vs. time graph represent?

Accepted Answer

Acceleration

Question 11

A student plots position vs. time for an object moving with constant acceleration. What is the shape of the graph?

Accepted Answer

A parabola

Question 12

Which of the following is the correct definition of average acceleration?

Accepted Answer

$$a_{avg} = \frac{\Delta v}{\Delta t}$$

Question 13

A motorcycle travels the first $$50\ \mathrm{m}$$ with constant acceleration, then another $$50\ \mathrm{m} at $$constant velocity. What is the total displacement after $$7.5\ \mathrm{s}$$?

Accepted Answer

$$100\ \mathrm{m}$$

Question 14

Which of the following is true about the acceleration graph for an object in free fall near Earth's surface?

Accepted Answer

It is a horizontal line at $$a = -9.8\ \mathrm{m/s^2$}$$

Question 15

A student analyzes a motion diagram with equally spaced dots along the x-direction. What does this indicate about the object's motion?

Accepted Answer

The object is moving at constant velocity.

Question 16

Which equation would you use to find the final velocity of an object in free fall after time $$t$$, starting from rest?

Accepted Answer

$$v = v_0$ + at$$

Question 17

A lunar lander is descending toward the Moon with $$v_0 = -3.0$$\ \mathrm{m/s}$$ from h = 5.0$$\ \mathrm{m}$$. What is the final velocity just before it touches the surface? (Use g$$_{moon} = 1.62\ \mathrm{$$m/s^2$$}$$)

Accepted Answer

$$-5.5\ \mathrm{m/s}$$

Question 18

Which of the following is NOT a valid step in solving a kinematics problem?

Accepted Answer

Ignore the direction of acceleration

Question 19

If an object is moving with constant acceleration, which of the following is true about its velocity vs. time graph?

Accepted Answer

The graph is a straight line

Question 20

A student drops a ball from a height $$h$$ and measures the time $$t it $$takes to hit the ground. Which equation relates $$h$$ and $$t$$ for free fall?

Accepted Answer

$$h = \frac{1}{2} g t^2$

Kinematics: Motion Graphing and Free Fall – Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards