1.36 A plane, which is flying horizontally at a constant speed yo and at a height h above the sea, must drop a bundle of supplies to a castaway on a small raft. (a) Write down Newton's second law for the bundle as it falls from the plane, assuming you can neglect air resistance. Solve your equations to give the bundle's position in flight as a function of time t. (b) How far before the raft (measured horizontally) must the pilot drop the bundle if it is to hit the raft? What is this distance if v. = 50 m/s, h = 100 m, and g≈ 10 m/s²? (c) Within what interval of time (At) must the pilot drop the bundle if it is to land within 10 m of the raft?

1.36 A plane, which is flying horizontally at a constant speed yo and at a height h above the sea, must drop a bundle of supplies to a castaway on a small raft. (a) Write down Newton's second law for the bundle as it falls from the plane, assuming you can neglect air resistance. Solve your equations to give the bundle's position in flight as a function of time t. (b) How far before the raft (measured horizontally) must the pilot drop the bundle if it is to hit the raft? What is this distance if v. = 50 m/s, h = 100 m, and g≈ 10 m/s²? (c) Within what interval of time (At) must the pilot drop the bundle if it is to land within 10 m of the raft?