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A helicopter is flying horizontally at 8...

A helicopter is flying horizontally at `8m//s` at an altitude 180m when a package fo emergency medical supplies is ejected horizontally backward with a speed fo `12m//s` relative to the helicopter. Ignoring air resistance what is horizontal distance between the package and the helicopter when the package hits the ground?

A

`120m`

B

`24m`

C

`36m`

D

`72m`

Text Solution

Verified by Experts

The correct Answer is:
d
Time taken by package to reach the ground:
`T=sqrt((2xx180)/10)=6s`
Horizontal distance travelled by helicopter in this time=`8xx6=48m`.
Velocity of package w.r.t ground `=12-8=4 m//s`in backward direction.
Horizontal distance travelled by package in time `T=4xx6=24m`.
So horizontal distance between them `=48+24=72m`
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