Question
An Alaskan recue plane drops a package of emergency rations to a stranded party of explorers, as illustrated. The plane is traveling horizontally at 100.0m/s at a height of 50.0 m above ground. What horizontal distance does the package tral before striking the ground? I got the answer to that part which was 319. Then it says find the velocity( magnitude and direction) of the package before it hits the ground? I know i have to use cosine and sin but how do i do this??? help please! thanks:)
Answers
Your 319 m number is correct.
For the velocity when it hits the ground, use the fact that the horizontal compoinent is 100 m/s and the vertical component is g t, where
t = sqrt (2H/g)
Thus vertical component = sqrt (2 g H)
For the velocity when it hits the ground, use the fact that the horizontal compoinent is 100 m/s and the vertical component is g t, where
t = sqrt (2H/g)
Thus vertical component = sqrt (2 g H)