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The horizontal motion of a horizontally launched projectile affects its vertical motion.

Projectile motion in two dimensions cannot be determined by breaking the problem into two connected one-dimensional problems.

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.

The path of a projectile through space is called its:

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 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 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 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 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 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 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?

The path through space followed by a projectile is called the

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?

To determine the y-component of a projectile’s velocity, what operation is performed on the angle of the launch?

To determine the x-component of a projectile’s velocity, what operation is performed on the angle of the launch?

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.

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?

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.

What is meant by the statement “the vertical and horizontal motions of a projectile are independent”?

When throwing a baseball, why is the maximum range obtained from releasing the ball at an angle 45^o to the horizontal?

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?

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.

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.)

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?

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?

A human cannonball is launched from a cannon at 20 m/s at above the horizontal.  What is the range of the human cannonball?

A football is kicked from a tee at 12 m/s at above the horizontal.  What is the maximum height of the football?

A football is kicked from a tee at 12 m/s at above the horizontal.  What is the maximum range of the football?

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?

A football is kicked from a tee at 12 m/s at above the horizontal.  What is the flight time of the football?

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?

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?

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?