Question

The velocity of a body depends on time according to the equation v = 20 + 0.1t2. The body is undergoing

Answer 1

Answer:

Explanation:

v = 20 + 0.1t²

Differentiate velocity with time

a = dv/dt = 0.2t

From above, it is clear that acceleration of depends on time.

∴ Acceleration of body is non-uniform

Answer 2

Answer:

Non-uniform acceleration

Explanation:

Given,

Velocity, V = 20 + 0.1$t^{2}$

We know that acceleration, a = $\frac{dv}{dt}$

So,

a = $\frac{dv}{dt} = \frac{d(20+0.1t^{2}) }{dt} = 0.1 (2t) = 0.2t$

a = 0.2t

Here we can see that acceleration is dependent on time. Such an acceleration may increase or decrease with time. Hence its non-uniform acceleration.

So, the given equation represents non-uniform acceleration.