The dependence of velocity of a body with time is given by the equation $v = 20 + 0.1 t^{2}$ . The body is in

uniform retardation

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uniform acceleration

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non-uniform acceleration

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zero acceleration

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Solution

The correct option is C non-uniform acceleration
On differentiating, acceleration $= 0.2 t$
Thus acceleration is a function of time as it goes on increasing with time, therefore it is non-uniform acceleration

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The velocity of a body depends on time according to equation V=20 + 0.1 $t^{2}$ . the body is undergoing

v = 20 + 0.1 t^{2}

T h e v e l o c i t y o f a b o d y d e p e n d s o n t i m e a c c o r d i n g t o t h e e q u a t i o n v = \frac{t^{2}}{10} + 20 . T h e b o d y i s u n d e r g o i n g (1) U n i f o r m a c c e l e r a t i o n (2) U n i f o r m r e t a r d a t i o n (3) N o n - u n i f o r m a c c e l e r a t i o n (4) Z e r o a c c e l e r a t i o n

\frac{t^{2}}{10} + 20

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