PhysicsLAB Textbook Resources
Projectiles Released at an Angle

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 Example: A football is kicked so that is has a hang time of 3.7 seconds and hits the ground 36 meters down the field, what was the velocity of the football when it was kicked?

1. A cannon is fired on flat ground so that its shell comes back to the ground 425 meters away. If the cannon ball is in the air for only 1.7 seconds, with what velocity was it fired?

2. A soccer ball is kicked into the air with a hang time of 4.5 sec and lands 5 meters away.  What was the velocity of the soccer ball just after being kicked?

3. Two boys are playing catch standing 25 meters apart.  If one of the boys throws the ball so that it has a hang time of 3.1 seconds, how high did the ball go?  How does the distance between the boys affect how the ball is thrown?  How does it affect the height that the ball reaches?

4. A catapult launches a mass with a speed of 37 m/s at an angle of 27 degrees.  How long does it stay in the air? You may assume that the take-off height and landing height are the same.

5. An arrow is shot at 38 m/s at an angle of 35º, what is the range of the arrow? You may assume that it is shot from ground level and lands back on the ground.

6. A dare devil rides a motorcycle up a 33º incline at a constant speed of 90 mph (40 m/s) how far way is the landing ramp?  If an average car is 2.2 metes wide, how many can be jumped?  You may assume the take off height an landing height are the same.

7. The maximum range of a projectile when, neglecting air resistance and launched from the ground to the ground, is 45º.  All other angles will produces a range that is less; meaning that for a given range less then the maximum, two different angles will work. Show that 25 and 65 degrees give the same range for an object launched at 100 m/s. Does changing the velocity affect 25º and 65º giving the same range?

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