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A bomb is dropped on an enemy post by an...

A bomb is dropped on an enemy post by an aeroplane flying. With a horizontal velocity of 60km/hr and at a height of 490 m. how far the aeroplane must be from the enemy post at the time of dropping the bomb, so that it may directly hit the target? `(g=9.8m//s^(2))`

A

`400/3`m

B

`500/3` m

C

`1700/3`m

D

498 m

Text Solution

Verified by Experts

The correct Answer is:
B
Time taken for vertical direction motion
`t=sqrt((2h)/g)=sqrt((2xx490)/9.8)=sqrt100`=10 s
The same time is for horizontal direction.
`therefore x = vt = (60xx5/18)xx10 =500/3` m
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