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Question

# A cart is moving horizontally along a straight line with constant speed 30 m/s. A particle is to be fired vertically upwards from the moving cart in such a way that it returns to the cart at the same point from where it was projected after the cart has moved 80 m. At what speed (relative to the cart in m/s) must the projectile be fired? (g= 10 m/s2).

A
10
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B
108
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C
403
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D
None of these
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Solution

## The correct option is C 403From the inertial frame this is a projectile motion with range 80m and horizontal velocity 30 m. Time of flight is 80/30=8/3 s. displacement along y direction is zero.H=ut−12gt2=0⇒u=gt2=10×832=403m/s

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