First slide

Application of diffrentiation

Question

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

Easy

A

8t³
B

8t
C

–8t³
D

t²

Solution

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

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