# Question #e2a90

##### 1 Answer

Feb 3, 2017

#### Explanation:

We know that Kinetic Energy of an object having mass

#KE=1/2mv^2# .....(1)

Also kinematic equation connecting quantities of interest is

#v=u+at# .....(2)

where#u# is initial velocity,#a and t# are acceleration and time respectively.

Inserting value of#v# from (2) in (1) we get

#KE=1/2m(u+at)^2#

To find rate of change of kinetic energy we differentiate both sides with respect to time. We get

using chain rule we get

Inserting given values we get