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Q.

The co-ordinates of a moving particle at any time t are given by x=αt3 and y=βt3. The speed of the particle at time t is given by :

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a

α2+β2

b

t2α2+β2

c

3tα2+β2

d

3t2α2+β2

answer is D.

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Detailed Solution

x=αt3  and  y=βt3Ux=3αt2 Uy=3βt2U=Ux2+Uy2=3t2α2+β2
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