A cart is moving horizontally along a straight line with constant speed 30 𝑚/𝑠. A projectile is to be fired from the moving cart in such a way that it will return to the cart after the cart has moved 80 𝑚. At what speed (relative to the cart) must the projectile be fired (Take 𝑔 = 10 𝑚/𝑠 2 )

Question : A cart is moving horizontally along a straight line with constant speed 30 𝑚/𝑠. A projectile is to be fired from the moving cart in such a way that it will return to the cart after the cart has moved 80 𝑚. At what speed (relative to the cart) must the projectile be fired (Take 𝑔 = 10 𝑚/𝑠 2 )

(A) 10 𝑚/𝑠

(B) 10√8 𝑚/𝑠

(C) 40/ 3 𝑚/𝑠

(D) None of the above

Answer : option (C)

Solution :

A cart is moving horizontally along a straight line with constant speed 30 𝑚/𝑠. A projectile is to be fired from the moving cart in such a way that it will return to the cart after the cart has moved 80 𝑚. At what speed (relative to the cart) must the projectile be fired (Take 𝑔 = 10 𝑚/𝑠 2 )
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