List of top Mathematics Questions on Rate of Change of Quantities asked in AP EAPCET

A particle is moving on a straight line so that its distance \(s\) from a fixed point at any time \(t\) is proportional to \(t^n\). If \(v\) is the velocity and \(a\) is the acceleration of the particle at any time \(t\), then \[ \frac{nas}{n-1} = \]

A balloon, which always remains spherical, has a variable radius. The rate at which its volume is increasing with respect to its radius $r$ when $r = 5$ cm is: