posted by Shannon on .
1. A rescue plane flying horizontally at an altitude of 500 m and velocity of 300 m\s east drops a food supply packet to plane crash survivors on the ground. The packet falls freely to the ground without a parachute. Assume that the weather is perfect.
a. Calculate the time it takes for the supply packet to hit the ground
b. Calculate horizontal distance
First note that the plane and the packet have the same horizontal velocity throughout this problem. Therefore the bomb lands exactly under the plane. If the package were a bomb, it would be wise to turn after yelling "bombs away".
The falling problem:
falls 500 meters with zero initial vertical velocity component.
500 = (1/2) g t^2
1000 = 9.81 t^2
t = 10.1 seconds to fall 500 meters
Then the package flew for 10.2 seconds at a horizontal speed of 300 east so
d = u t = 300*10.1 = 3029 meters east