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A cartis moving horizontally along a str...

A cartis moving horizontally along a straight line with constant speed 30m/s.At 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 8Om. At what speed (relative to the cart) must the projectile be fired? (Take `g=10 m//s^(2)`)

A

`10 sqrt(8m)//s`

B

`8sqrt(10 m)//s`

C

`(40)/(3) m//s`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Time takenby the cart to cover 80m
`t=(s)/(v)=(80)/(30)=(8)/(3)"Sec"`
We have, `v=u=at"`
`u=?,v=0, a=-g=10 m//s^(2) and t=(8//3)/(2)=(4)/(3)` (since time of fight to reach the highest point is halfofthe total time of fight)
`:.0 u-10xx(4)/(3)`
`u=(40)/(3)m//s`
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