Question

A plane flies at 20.0m/s ascending at 30 degrees above the horizontal. The plane drops a care package at a height that allows the package to land 750m away (horizontally).

1.) At what location above the ground was the package released?

2.) Find the velocity (magnitude and direction with respect to the horizontal) of the package at 50m above the ground.

3.) Sketch the horizontal and vertical component of velocity vector (separately) as the function of time

Answer 1

the horizontal speed is 17.32 m/s
So, the package falls for 750/17.32 = 43.30 seconds

So, you need h where

h + 10.0t - 4.9t^2 = 0
and t = 43.3

Now you can carry on with the other parts,