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Q.

The coordinates of a body moving in a plane at any instant of time t are x=αt2 and y=βt2.The velocity of the body is

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a

tα2+β2

b

2tα2+β2

c

2α2+β2

d

2tα2+β2

answer is C.

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Detailed Solution

x=αt2vx=dxdt=2αt

y=βt2.vy=dydt=2βt

velocity: 

v=vx2+vy2(2αt)2+(2βt)2=2tα2+β2

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