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=sinθ2sinθ1
b
k=cosθ2cosθ1
c
t=hkv0sinθ1+v0sinθ2
d
t=hkv0cosθ1+v0cosθ2
answer is B.
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Detailed Solution
In x-direction: d=v0cosθ2t=kv0cosθ1t cosθ2=kcosθ1⇒k=cosθ2cosθ1Motion of A w.r.t. B in y direction h=vrt here vr=kv0sinθ1+v0sinθ2t=hvr=hkv0sinθ1+v0sinθ2