Acceleration is defined as the rate of change of velocity. Suppose we call the rate of change of acceleration as ` SLAP ?.
(i) What is the unit of SLAP` .
(ii) How can we calculate instantaneous SLAP ?

Explanation

Given, SLAP ` (change in acceleration )/(time taken )
(i) The (SI) unti of ` SLAP is ` (m//s^(2))/s =m s^(-3)`
(ii) Instantaneous ` SLAP` is the value of ` SLAP` at the given instant, which is the first derivative of accelertion at the given instant and can be written as
Instantaneous ` SLAP= (Limit)/(Delta t rarr0) (Delta vec a)/(Delta t)) = (d vec a)/d t).