# Q. Draw the velocity time graph of a ball vertically thrown upwards with an initial velocity of u and rebound from the ground. Q.An aircraft drops a food packet travelling at a speed of 100 m/s .if the spot where the food packet is to be dropped is at distance of 500 m.Find whether food packet is at spot or not

1
by pulkitrajverma
the height at which aircraft is traveling is needed

2014-11-29T07:12:47+05:30

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1)
Please see diagram for the first one...
2)

We need to know the height at which the aircraft is flying.  Suppose it is H meters.

The packet takes time t to reach the ground.
H = 1/2 g t²  =>          t = √(2H/g)
In this time, the packet will travel a distance of
100 m/s * t = 100 * √(2H/g)

Suppose this distance is equal to 500 m =>
√(2H/g) = 5    =>  H = 25 g / 2

If the aircraft is flying at a height of  25 g/2  then it will hit the spot.

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