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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answer is 4.
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Detailed Solution
Let time of flight is T,T=2v0sinθgcosθ=2×10×3/510×4/5=32sLet x is the distance travelled by cart in time T.x+6=v0cosθT⇒ v32+6=10×45×32⇒v=4 m/s