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Question: The velocity of a body depends on time according to the equation \(v = 20 + 0.1t^{2}\). The body is ...

The velocity of a body depends on time according to the equation v=20+0.1t2v = 20 + 0.1t^{2}. The body is undergoing

A

Uniform acceleration

B

Uniform retardation

C

Non-uniform acceleration

D

Zero acceleration

Answer

Non-uniform acceleration

Explanation

Solution

Acceleration a=dvdt=0.1×2t=0.2ta = \frac{dv}{dt} = 0.1 \times 2t = 0.2t

Which is time dependent i.e. non-uniform acceleration.