A man standing on the roof of a building thinks it might be fun to try and toss a brick that he has found there into a garbage truck that is coming down the road. The building is 100m high, and the top of the trash pile (which is uncovered) is 2m above the ground. The road is 30m from the building at closest approach. The truck is moving down the road with constant velocity 15m/s. The man chooses to throw the brick at an angle of 45? above the horizontal.
(a) With what initial speed does he need to throw the brick so that it hits the top of the trash pile when the truck is 30m away from the building? Does this sound feasible?
(b) How far down the road must the truck be when he throws the brick so that it is at its closest approach when the brick lands in the trash pile?
(c) What will be the velocity of the brick when it hits the trash pile?