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Question

Two particles are originally placed at P and Q distant d apart. At t=0 they start moving such that velocity v of P is aimed towards Q and velocity u of Q is perpendicular to v. The two projectiles meet at time T=
135036.png

A
(v2u2)d2v3d
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B
(v+u)dv2
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C
v(vu)d
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D
vd(v2u2)
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Solution

The correct option is B vd(v2u2)
Relative velocity of P and Q is (vucosθ).

The particles will meet when:
π0(vucosθ)dt=d and π0vcosθdt=d
and π0cosθdt=uTv

vTuuTv=d

(v2u2)T=vd
T=vdv2u2

130003_135036_ans.png

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