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An aeroplane is flying horizontally at a...

An aeroplane is flying horizontally at a height of `980 m` with velocity `100 ms^(-1)` drops a food packet.A person on the ground is `414 m` ahead horizontally from the dropping point.At what velocity should he move so that he can catch the food packet.

A

`50sqrt2ms^(-1)`

B

`50/sqrt2ms^(-1)`

C

`100ms^(-1)`

D

`200ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
`T=sqrt((2h)/g),R=usqrt((2h)/g)`
Remaining distance`=(R-414),v=R-414/T`
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Knowledge Check

  • An aeroplane moving horizontally from west to east with some velocity and with an acceleration 5m//s^(2) drops a food packet at some instant. Then:

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    A person sitting on the aeroplane shall see the packet is always vertically below the plane.
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    With respect to plane the packet travels in a straight line making an angle `"tan" ^(-1) (1//2)` east of vertical.

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