First slide

Projection Under uniform Acceleration

Question

A shell is fired from a cannon with a velocity v at an angle $θ$ with the horizontal direction At the highest point in its path, it explodes into two pieces of equal masses. One of the pieces retraces its path to the cannon. The speed of the other piece immediately after the explosion is

Moderate

A

$3 vcos θ$
B

$2 vcos θ$
C

$(3/2) vcos θ$
D

$Vcos θ$

Solution

Applying the law of conservation of momentum, we have
$(2 m) (vcos θ) = - m (vcos θ) + {mv}_{2} 2 vcos θ + vcos θ = v_{2} v_{2} = 3 vcos θ$

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