Q: A ball is thrown straight upward with an initial velocity of $$20\ \mathrm{m/s}. $$What is the maximum height reached by the ball? (Take $$g = 10\ \mathrm{m/s^2$})$$

$$h = \frac{v_i^2$}{2g} = \frac{20^2$}{2 \times 10} = 20\ \mathrm{m}$$

Q: A projectile is launched at an angle $$\theta$$ with initial speed $$v_0. $$What is the formula for its maximum height?

$$h_{max} = \frac{v_0$^2 \sin^2$ \theta}{2g}$$

Question 1

Which of the following best describes displacement?

Accepted Answer

The change in position of an object from its initial to final point.

Question 2

An object moves from $$x = 2\ \mathrm{m} to$$ $$x = 5\ \mathrm{m}$$, then back to $$x = 3\ \mathrm{m}. $$What is the total displacement?

Accepted Answer

$$1\ \mathrm{m}$$

Question 3

A car accelerates uniformly from $$2\ \mathrm{m/s} to$$ $$10\ \mathrm{m/s} in$$ $$5\ \mathrm{s}. $$What is the car's acceleration?

Accepted Answer

$$a = \frac{10 - 2}{5} = 1.6\ \mathrm{m/s^2$}$$

Question 4

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

Accepted Answer

$$\Delta x = v_i t + \frac{1}{2} a t^2$

Question 5

A ball is thrown straight upward with an initial velocity of $$20\ \mathrm{m/s}. $$What is the maximum height reached by the ball? (Take $$g = 10\ \mathrm{m/s^2$})$$

Accepted Answer

$$h = \frac{v_i^2$}{2g} = \frac{20^2$}{2 	imes 10} = 20\ \mathrm{m}$$

Question 6

Which of the following statements about velocity and speed is correct?

Accepted Answer

Speed is the magnitude of velocity.

Question 7

A projectile is launched at an angle $$	heta$$ with initial speed $$v_0. $$What is the formula for its maximum height?

Accepted Answer

$$h_{max} = \frac{v_0$^2 \sin^2$ 	heta}{2g}$$

Question 8

Which graph best represents the velocity vs. time for an object thrown straight up and then falling back down?

Accepted Answer

A straight line with negative slope crossing the time axis.

Question 9

If an object moves with constant acceleration, which of the following is true?

Accepted Answer

Its velocity changes at a constant rate.

Question 10

A car travels $$60\ \mathrm{m}$$ north, then $$80\ \mathrm{m}$$ east. What is the magnitude of its displacement?

Accepted Answer

$$100\ \mathrm{m}$$

Question 11

Which of the following is the correct formula for average velocity?

Accepted Answer

$$v_{avg} = \frac{\Delta x}{\Delta t}$$

Question 12

A car moves with a constant velocity of $$15\ \mathrm{m/s}$$ for $$10\ \mathrm{s}. $$What is the displacement?

Accepted Answer

$$150\ \mathrm{m}$$

Question 13

Which of the following best describes the acceleration of an object in free fall near Earth's surface?

Accepted Answer

It is constant and directed downward.

Question 14

A projectile lands at the same level as it was launched. What is the formula for its total flight time?

Accepted Answer

$$t = \frac{2 v_0$ \sin 	heta}{g}$$

Question 15

Which of the following is true about the velocity of a projectile at the highest point of its trajectory?

Accepted Answer

The vertical component of velocity is zero.

Question 16

An object starts from rest and accelerates at $$4\ \mathrm{m/s^2$}$$ for $$3\ \mathrm{s}. $$What is its final velocity?

Accepted Answer

$$v = v_i + a t = 0 + 4 	imes 3 = 12\ \mathrm{m/s}$$

Question 17

Which of the following graphs represents an object moving with constant positive velocity?

Accepted Answer

A straight, sloped line on a position vs. time graph.

Question 18

A stone is thrown downward with an initial velocity of $$5\ \mathrm{m/s}$$ from a height of $$20\ \mathrm{m}. $$How long does it take to hit the ground? (Take $$g = 10\ \mathrm{m/s^2$})$$

Accepted Answer

$$\Delta y = v_i t + \frac{1}{2} g t^2$ \Rightarrow 20 = 5t + 5t^2$ \Rightarrow t = 2\ \mathrm{s}$$

Question 19

Which of the following is the correct formula for the horizontal range of a projectile launched at an angle $$	heta$$ with speed $$v_0$$?

Accepted Answer

$$R = \frac{v_0$^2 \sin 2	heta}{g}$$

Kinematics and Projectile Motion: Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards