Velocity of a body depends on time according to equation v=frac{t^2}{10}+20 . body is undergoing

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2.Motion in Straight Line

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The velocity of a body depends on time according to the equation $v=\frac{t^2}{10}+20$. The body is undergoing

A

Uniform acceleration

B

Uniform retardation

C

Non-uniform acceleration

D

Zero acceleration

Solution

(c)

$v=\frac{t^2}{10}+20$

To find acceleration find $\frac{d v}{d t}$

So, $a=\frac{d v}{d t}=\frac{2 t}{10}+0$

$\Rightarrow a=\frac{t}{5} \Rightarrow a \propto t$

$\because a$ is a function of time so it is not constant, rather it is non-uniform.

Standard 11

Physics

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