True/False Indicate whether the
statement is true or false.
|
|
1.
|
The horizontal motion of a horizontally launched projectile affects its vertical
motion.
|
|
2.
|
Projectile motion in two dimensions cannot be determined by breaking the problem
into two connected one-dimensional problems.
|
|
3.
|
A ball that is dropped will hit the ground at the same time as a ball that is
thrown horizontally with an initial velocity of 2 m/s.
|
Multiple Choice Identify the
choice that best completes the statement or answers the question.
|
|
4.
|
The path of a projectile through space is called its:
a. | equilibrant | c. | range | b. | torque | d. | trajectory |
|
|
5.
|
A soldier throws a grenade horizontally from the top of a cliff. Which of the
following curves best describes the path taken by the grenade?
a. | Circle | c. | Hyperbola | b. | Ellipse | d. | Parabola |
|
|
6.
|
A stone is thrown horizontally from the top of a 25.00-m cliff. The stone lands
at a distance of 40.00 m from the edge of the cliff. What is the initial horizontal velocity of the
stone?
a. | 2.260 m/s | c. | 17.70 m/s | b. | 15.60 m/s | d. | 22.05 m/s |
|
|
7.
|
A ball is thrown horizontally at 10.0 m/s from the top of a hill 50.0 m high.
How far from the base of the cliff would the ball hit the ground?
a. | 23.6 m | c. | 31.9 m | b. | 26.4 m | d. | 45.0 m |
|
|
8.
|
A ball is thrown horizontally from a hill 29.0 m high at a velocity of 4.00 m/s.
Find the distance between the base of the hill and the point where the ball hits the ground.
a. | 2.43 m | c. | 10.06 m | b. | 9.73 m | d. | 3.28 m |
|
|
9.
|
A player kicks a football at an angle of 30.0° above the horizontal. The
football has an initial velocity of 20.0 m/s. Find the horizontal component of the velocity and the
maximum height attained by the football.
a. | 10.0 m/s, 17.6 m | c. | 25.1 m/s, 7.40 m | b. | 17.3 m/s, 5.10 m | d. | 30.3 m/s, 9.50
m |
|
|
10.
|
A missile launches at a velocity of 30.0 m/s at an angle of 30.0° to the
normal. What is the maximum height the missile attains?
a. | 11.5 m | c. | 34.4 m | b. | 27.5 m | d. | 45.9 m |
|
|
11.
|
A player kicks a football with an initial velocity of 3.00 m/s at an angle of
60.0° above the horizontal. What is the horizontal distance traveled by the football?
a. | 0.312 m | c. | 0.673 m | b. | 0.397 m | d. | 0.795 m |
|
|
12.
|
The path through space followed by a projectile is called the
a. | trajectory. | c. | thrust. | b. | transparency. | d. | acceleration due to
gravity. |
|
|
13.
|
Karl is at a carnival. One of the midway games requires him to shoot at
falling targets with an air rifle. Where should Karl aim?
a. | He should aim below the falling target. | b. | He should aim above
the falling target. | c. | He should aim directly at the
target. | d. | He should aim at the ground below the target. |
|
|
14.
|
To determine the y-component of a projectile’s velocity, what operation is
performed on the angle of the launch?
a. | secant | c. | cosine | b. | tangent | d. | sine |
|
|
15.
|
To determine the x-component of a projectile’s velocity, what operation is
performed on the angle of the launch?
a. | secant | c. | cosine | b. | tangent | d. | sine |
|
|
16.
|
A strobe-light series of pictures is taken of a red ball and a blue ball.
The red ball was allowed to drop straight down, and the blue ball was given an initial horizontal
velocity. Lines are drawn connecting each red ball image with the corresponding blue ball
image. Describe the lines connecting the images.
a. | The lines slope down from the red ball to the corresponding blue
ball. | b. | The lines slope up from the red ball to the corresponding blue
ball. | c. | The lines are vertical. | d. | The lines are
horizontal. |
|
|
17.
|
Idaho Jo is doing physics experiments throughout the solar system. She
travels to each planet and shoots a potato straight up in the air with her potato gun. She uses
the same potato on each planet and the initial velocity is the same every time. She repeats the
experiment on all 8 planets in the solar system. Planet | Acceleration due to Gravity | Mercury | 3.7 m/s2 | Venus | 8.9 m/s2 | Earth | 9.8 m/s2 | Mars | 3.6 m/s2 | Jupiter | 24.9 m/s2 | Saturn | 10.6 m/s2 | Neptune | 11.7 m/s2 | Uranus | 8.9 m/s2 | | |
On which planet(s) will the potato reach the
highest altitude?
a. | Mercury / Mars | c. | Earth | b. | Venus / Uranus | d. | Jupiter |
|
Short Answer
|
|
18.
|
Two toy dart guns are fired from the same height horizontally at the
refrigerator. One dart’s suction cup sticks to the refrigerator door, but the other dart
falls short. Explain why this may have happened.
|
|
19.
|
What is meant by the statement “the vertical and horizontal motions of a
projectile are independent”?
|
|
20.
|
When throwing a baseball, why is the maximum range obtained from releasing the
ball at an angle 45o to the horizontal?
|
|
21.
|
Some pilots are in training to make humanitarian aid deliveries for the
U.N. To help them get used to timing the release of their packages, they jog across the room at
constant speed and drop tennis balls onto a Velcro mat with a target printed on it. To hit the
center of the target, when should the pilots drop the tennis balls, and why?
|
|
22.
|
A shot put with a mass of 10 kg and a bowling ball with a mass of 8 kg are
placed on a table. The balls are rolled simultaneously along the table with an initial velocity
of 1.5 m/s. If they are allowed to roll off the table, predict which will hit the floor first,
and which will land farther away from the table.
|
Problem
|
|
23.
|
A hiker throws a ball at an angle of 21.0° above the horizontal from a hill
21.0 m high. The hiker’s height is 1.750 m. The magnitudes of the horizontal and vertical
components of the velocity are 14.004 m/s and 5.376 m/s, respectively. Find the distance between the
base of the hill and the point where the ball hits the ground. (Consider the hiker’s height
while calculating the answer.)
|
|
24.
|
Two grenades, A and B, are thrown horizontally with different speeds from the
top of a cliff 70 m high. The speed of A is 2.50 m/s and the speed of B is 3.40 m/s. Both grenades
remain in air for 3.77 s. Assume that the acceleration due to gravity is 9.86 m/s2. What
is the distance between A and B if they are thrown along the same straight line?
|
|
25.
|
A human cannonball is launched from a cannon at 20 m/s at above the
horizontal. What is the maximum height of the human cannonball?
|
|
26.
|
A human cannonball is launched from a cannon at 20 m/s at above the
horizontal. What is the range of the human cannonball?
|
|
27.
|
A football is kicked from a tee at 12 m/s at above the
horizontal. What is the maximum height of the football?
|
|
28.
|
A football is kicked from a tee at 12 m/s at above the
horizontal. What is the maximum range of the football?
|
|
29.
|
A human cannonball is launched from a cannon at 20 m/s at above the
horizontal. What is the flight time of the human cannonball?
|
|
30.
|
A football is kicked from a tee at 12 m/s at above the
horizontal. What is the flight time of the football?
|
|
31.
|
A bolt is shot horizontally from a crossbow 1.5 m above the ground.
The initial velocity is 45 m/s. How far will the arrow travel before hitting the ground?
|
|
32.
|
A paintball is shot horizontally from a paintball marker 1.75 m above the
ground. The initial velocity of the paintball is 270 m/s. How far will the paintball
travel before hitting the ground?
|
|
33.
|
A paintball is shot horizontally from a paintball marker 1.75 m above the
ground. The initial velocity of the paintball is 270 m/s. How long will it take for the
bullet to hit the ground?
|