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Q.

If velocity of particle is given by v = 2t⁴ then its acceleration (dv/dt) at any time t will be given by :

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a

–8t³

b

t²

c

8t

d

8t³

answer is A.

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Detailed Solution

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$\begin{array}{l} v = 2 t^{4} \\ a = \frac{d v}{d t} = 2 \times 4 t^{3} = 8 t^{3} \end{array}$

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If velocity of particle is given by v = 2t4 then its acceleration (dv/dt) at any time t will be given by :