Projectile MotionPractice Problems

#1: A ball is fired from a launcher with an

initial velocity of 20.0 m·s-1 at an angle of 30.0° to the horizontal. What is the range of this projectile?

What is its maximum height?

What is the total time of flight?

Solution: A ball is fired from a launcher with an initial

velocity of 20.0 m·s-1 at an angle of 30.0° to the horizontal. What is the range of this projectile?

What is its maximum height?

What is the total time of flight?

#2 A cannon fired a projectile so that it hit

a target 1.20 km away. The projectile was fired at an angle of 74.8° from the horizontal, and was in the air for a total of 30.0 s. What was the initial launch velocity?

What is the maximum height reached by this projectile?

#3 An air cannon shot a potato so that it

reached a maximum height of 127.5 m and landed (at the height from which it was launched) 408.2 m away. Find the following values:

Initial vertical velocity Initial horizontal velocity Overall initial velocity Total flight time Angle at which it was launched

#4 A cannon is at the top of a 60.0 m high

cliff, and fires at a castle on top of a nearby cliff that is 110.0 m high. The cannon and castle are separated by a 200.0 m wide valley. If the cannonballs hit the castle 20.0 s after they were fired, determine the following values: Initial horizontal velocity Initial vertical velocity Maximum height above launch position Maximum altitude Total time in the air