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Q.

The distance x travelled by a particle in time t is given by t = 2x2+3x.If 'v' is the velocity, then acceleration will be :

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a

- 4v3

b

- 3v4

c

4v2

d

- 3v3

answer is A.

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Detailed Solution

t=2x2+3xSo, dtdx=4x+3  ⇒1v=4x+3⇒-1v2dvdx=4   ⇒dvdx=-4v2 or vdvdx=-4v3   ⇒a=-4v3
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