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A cart is moving horizontally along a st...

A cart is moving horizontally along a straight line with constant speed 30 m/s. A projectile is to be fired from the moving cart in such a way that it will return to the cart after the cart has moved 120m. At what speed (relative to the cart, in m/s) must the projectile be fired ? (Take `g=10m//s^2`)

A

10 m/s

B

`10sqrt(8)` m/s

C

`40/3` m/s

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Time taken by cart
`t_(1) = 80/30 = 8/3` sec
When particle reach maximum height
`t_(2) = t_(1)/2 = 4/3` sec
`v = u - "gt" rArr 0 = u - 10 xx 4/3 rArr u = 404/3` m/s
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