Q.

A particle P1 moves with a constant velocity v along x-axis, starting from origin. Another particle P2 chases particle P1 with constant speed v, starting from the point (0,d) . Both motions begin simultaneously. Select the correct alterative.

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a

ultimate separation between P1andP2 is d2

b

initial acceleration of P2 is v2d

c

initial acceleration of P2 is v22d

d

ultimate separation between P1 and P2 is d3

answer is B, C.

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Detailed Solution

Let r be the distance between 1 and 2 at any time t.
vcosθv=drdt    ...(i)

also, vcosθ=dxdt     ...(ii)
Question Image
dxdtv=drdt

dx=vdt+dr020dx=020+2lvdt+dxdr

x0=x0+xt+xrdxt=d2
Also, a2==vdθdt=v.vsinθr
Initially, θ=90°,r=da2=v2d

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