Question

A rescue plane wants to drop supplies to climbers on a rocky ridge 200 meters below. (a) If the plane is traveling horizontally with a speed of 100 meters/sec, how far (in horizontal distance) in advance of the recipients must the goods be dropped? (b) How much time do the supplies spend flying through the air?

Answer 1

Given is:-

Vertical height h=200m

Horizontal speed of the plane is u=200m/s

Now,

The initial vertical velocity of the dropped goods = 0 m/s

The time taken by the goods to reach the rock climbers is

by plugging all the values we get

which gives us

part-b

Now

the horzontal distance covered by the goods during this time is

by plugging all the values we get

part-a

Hence

The goods must be dropped 639 meters in advance of the rock climbers and the time spend by the goods during the flying period is 6.39 seconds