Projectile Motion Practice 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.

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Presentation transcript:

Projectile Motion Practice 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:

#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 m and landed (at the height from which it was launched) 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 m high. The cannon and castle are separated by a 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