Question

The velocity - time relationship is described by equation $v=P+Q{t}^2$. The body is travelling with

• A. zero acceleration
• B. uniform acceleration
• C. uniform retardation
• D. non-uniform acceleration

Answer 1

The correct option is D non-uniform acceleration

Acceleration is given as the rate of change of velocity with respect to time. Hence,

$\frac{dv}{dt}=a$

or, $a=2Qt$

We can clearly see that acceleration in this case, clearly increases with time. The acceleration is therefore, non-uniform.