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Q.

At the same instant, two boys throw balls A and B from a window with speeds v0 and kv0 respectively, where k is constant. They collide in air at time t. Which of the following option(s) is/are correct?

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a

k=sin⁡θ2sin⁡θ1

b

k=cos⁡θ2cos⁡θ1

c

t=hkv0sin⁡θ1+v0sin⁡θ2

d

t=hkv0cos⁡θ1+v0cos⁡θ2

answer is B.

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Detailed Solution

In x-direction: d=v0cos⁡θ2t=kv0cos⁡θ1t cos⁡θ2=kcos⁡θ1⇒k=cos⁡θ2cos⁡θ1Motion of A w.r.t. B in y direction h=vrt here vr=kv0sin⁡θ1+v0sin⁡θ2t=hvr=hkv0sin⁡θ1+v0sin⁡θ2

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At the same instant, two boys throw balls A and B from a window with speeds v0 and kv0 respectively, where k is constant. They collide in air at time t. Which of the following option(s) is/are correct?