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Q.

At a certain height a shell at rest explodes into two equal fragments one of the fragments receives a horizontal velocity u. The time interval after which the velocity vectors will be inclined at 1200 to each other is

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a

u3g

b

3ug

c

2u3g

d

u23g

answer is A.

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Detailed Solution

Just after the explosion ,velocities of the fragments will have equal in magnitude but oppositely directed .Therefore (ui^-gtj^).(-ui^-gtj^)=(u2+g2t2)cos 1200 Solving , t =u3g
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At a certain height a shell at rest explodes into two equal fragments one of the fragments receives a horizontal velocity u. The time interval after which the velocity vectors will be inclined at 1200 to each other is