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A cart is moving alongs +ve x-direction ...

A cart is moving alongs +ve x-direction with a speed of 4m/s Aperson on the cart throw a stone with a velcity of 6 m/s w.r.t hiumself In the frame of refrence of the cart the stone is thrown in the y-z palne making an angle of `30^(@)` with the verticle z- axies . Then w.r.t an observer on the ground

A

intial speed of the stone is 10 m/s

B

the intial speed of the stone is `2sqrt(13)`m/s

C

the velocity at the highest points of its motion is zero

D

the velocity at the highest points of its motion is 5 m/s

Text Solution

Verified by Experts

The correct Answer is:
b,d
`barV_(s.G)=barV_(S.C)+barV_(C.G)`
`barU=4hati+3hati+3sqrt(3k)`
`|barU|=2sqrt(13)`m/s
Velocity at highest points is `barV=4hati+3hatj`
`|barV|=5m//s`
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