JEE Main & Advanced

The velocity of a moving particle is defined as the rate of change of its displacement with respect to time and the acceleration is defined as the rate of change of its velocity with respect to time.

Let velocity and acceleration at time \[t\] be \[v\]  and \[a\] respectively,

Then, Velocity \[(v)=\frac{ds}{dt}\];   Acceleration \[(a)=\frac{dv}{dt}=\frac{{{d}^{2}}s}{d{{t}^{2}}}\].