A cart is moving horizontally along a straight line with a constant speed of $$30$$ $$ms-1$$. A projectile is to be fired from the moving cart in such a way that it will return to the cart (at$$ the same point on $$cart) after the cart has moved $$80$$ m. At what velocity (relative$$ to the $$cart) must projectile be fired? (Take$$, g $$=$$ $$10$$ $$ms-2)

Question

Infinity Learn · Accepted Answer

The time taken by cart to cover $$80$$ m,$$sv=8030=83$$ sThe projectile must be fired (relative$$ to $$cart) in vertically upward direction. i.e.   $$a=-g=-10$$ $$ms-2$$,v'$$=0$$ and $$t=8/32=43$$ s∴  v'$$=u+at$$ or $$0=u-10$$×$$43$$ or $$u=403$$ $$ms-1$$

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