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Q.

The coordinates 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

3t2α2+β2

b

t2α2+β2

c

α2+β2

d

3tα2+β2

answer is B.

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Detailed Solution

x=αt3 

y=βt3

v1=3αt2

v2=3βt2

v=(3αt2)2+(3βt2)2

=9α2t4+9β2t4

=9t4(α2+β2)

=3t2α2+β2

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