Question

A plane is dropping supplies to a raft adrift on the ocean. Just before the plane drops the package, it dives at an angle of 25 degrees (relative to the horizontal). The package's inital velocity is also declined by 25 degrees. The plane is at an altitude of h=300m and if flying at a constant speed of v=90m/s when the package is dropped. There is a strong current that is pushing the raft at a constant rate with v_raft = 5 m/s, in the -x direction.

A) What are the equations of motions for the package of supplies?

B) Solve the equations of motions for v(t) and r(t).

C) Use your results from (b) to determine how far away the plane should be from the raft when the supplies drop in order for the package of supplies to hit the raft.

Answer 1