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Question

Two particles are simultaneously projected in the same vertical plane from the same point with velocities u and v at angles αandβ with horizontal. Find the time that elapses when their velocities are parallel.

A
t=uvsin(αβ)g(vcosβucosα)
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B
t=usin(αβ)g(vcosβucosα)
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C
t=vsin(αβ)g(vcosβucosα)
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D
t=sin(αβ)g(vcosβucosα)
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Solution

The correct option is A t=uvsin(αβ)g(vcosβucosα)
v1(t)=ucosα^i+(usinαgt)^jv2(t)=vcosβ^i+(vsinβgt)^jwhenv1(t)v2(t)thenucosαvcosβ=(usinαgt)(vsinβgt)t=uvsin(αβ)g(vcosβucosα)

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