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Q.

The co-ordinates of a moving particle in X-Y plane at any time t are given by x = ct2  and y = bt2. The speed of the particle at a time ‘t’ is given by:

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a

2t c + b

b

2tc2−b2

c

tc2+b2

d

2tc2+b2

answer is D.

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Detailed Solution

given x=ct2differentiate with respect to timedxdt=2ct=VXy=bt2differentiate with respect to timedydt=2bt=VY∴v=vx2+vy2 v=2tc2+b2
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