Projectile Motion Problems Intro:
Above are several projectile motion problems that on the surface seem quite different. If you focus only on the steps used to solve any one of the problems, you may overlook the fact that they share a common underlying structure – the fundamental generic equations that apply to free-fall problems.

Rather than trying to memorize the steps used by any one particular problem-solution, it is the underlying principles and equations that one should focus attention upon. By solving each problem with the fundamental generic equations as a jumping off point you will expand you understanding of the underlying physics so that you can apply your knowledge to other more unique situations.

If there is any memorization to be done, it should be the fundamental principles and equations that that apply to all free-fall problems - the Relavant Physics for FreeFall. As you gain experience in applying the fundamental equations to a problem in different ways or to other similar problems, you will gain understanding of the fundamental physics involved.

Problems:

1. A ball is launched into the air at an angle of 32.0 ^o with an initial speed of 18.0 m/s. Neglecting air resistance, determine how long the ball will be in the air ?
2. A rock is launched from the ground into the air. After 1.40 seconds the rock is observed to have a speed of 22.0 m/s at an angle +18.0 ^o above horizontal. Neglecting air resistance, with what speed was the rock launched ?
3. A ball is tossed into the air at a speed of 64.0 m/s at an unknown angle. If the ball is observed to rise to a maximum height of 7.80 m, at what angle was the ball thrown relative to the ground ?
4. An object is launched from the ground into the air at an angle of 38.0 ^o (above the horizon) towards a vertical brick wall that is 15.0 m horizontally from the launch point. If the ball takes 1.30 seconds to collide with the wall, with what speed was the ball launched ?