If velocity of particle is given by v -2 t 4- then its acceleration dv - dt at any time t will be given byA- 8 t3B- 8 tC- t 2D- -8 t 3

The correct option is A 8t^3v=2t^4 a=dvdt=2×4t^3=8t^3 ...

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Standard XII

Physics

Basic Differentiation Rule

If velocity o...

Question

If velocity of particle is given by $v = 2 t^{4}$ , then its acceleration $\frac{d v}{d t}$ at any time $t$ will be given by

8 t^{3}

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8 t

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- 8 t^{3}

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t^{2}

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Solution

The correct option is A $8 t^{3}$
$v = 2 t^{4}$
$a = \frac{d v}{d t} = 2 \times 4 t^{3} = 8 t^{3}$

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If velocity of particle is given by v=2t4, then its acceleration dvdt at any time t will be given by

The correct option is A 8t3v=2t4 a=dvdt=2×4t3=8t3

If velocity of particle is given by $v = 2 t^{4}$ , then its acceleration $\frac{d v}{d t}$ at any time $t$ will be given by

The correct option is A $8 t^{3}$
$v = 2 t^{4}$
$a = \frac{d v}{d t} = 2 \times 4 t^{3} = 8 t^{3}$