A projectile is launched from ground level at an angle θ to the top of a cliff which is 195 m away and 155 m high.  If the projectile lands right on the cliff edge 7.6 s after it is fired, find the initial velocity of the projectile.

Ignoring air resistance, a helicopter is flying with a velocity of 90 m/s at an angle of 23 degrees above the horizontal. When the helicopter is 114 m directly above a dog that is standing on level ground, they dropped a crate. How far from the dog will the crate land?

A girl stands on a fishing pier and tosses a pebble into a pond. The pebble is thrown from a height of 2.50 m above the water surface with a velocity of 4.60 m/s at an angle of 60.0° above the horizontal. As the pebble strikes the water surface, it immediately slows down to exactly half the speed it had when it struck the water and maintains that speed while in the water. After the pebble enters the water, it moves in a straight line in the direction of the velocity it had when it struck the water. If the pond is 6.20 m deep, how much time elapses (in s) between when the pebble is thrown and when it strikes the bottom of the pond? 5.195 X

An inflatable raft (unoccupied) floats down a river at an approximately constant speed of 3.9 m/s. A child on a bridge, 66 m above the river, sees the raft in the river below and attempts to drop a small stone onto the raft. The child releases the stone from rest. In order for the stone to hit the raft, what must be the horizontal distance between the raft and the bridge when the child releases the stone?