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Q.

A ball is projected horizontally from an incline so as to strike a cart sliding on the incline. Neglect height of cart and point of projection of ball above incline. At the instance the ball is thrown, the speed of cart is v (in m/s). Find v so that the ball strikes the cart.

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a

4

b

6

c

2

d

8

answer is A.

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Detailed Solution

Time of flight:T=2v0sin⁡37∘gcos⁡37∘=2×10×3/510×4/5=1.5sR=v0cos⁡37∘T+12gsin⁡37∘T2For cart:R−6=vT+12gsin⁡37∘T2Solve the equations to get v = 4 m/s

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A ball is projected horizontally from an incline so as to strike a cart sliding on the incline. Neglect height of cart and point of projection of ball above incline. At the instance the ball is thrown, the speed of cart is v (in m/s). Find v so that the ball strikes the cart.