A car (m = 1302 kg) traveling along a road begins accelerating with a constant acceleration of 1.50 m/s2 in the direction of motion. After traveling 392 m at this acceleration, its speed is 35.0 m/s. Determine the kinetic energy of the car when it began accelerating.

First we will use the concepts of motion kinetics for which the final speed is defined as shown below,

Here,

= Final velocity

= Initial velocity

a = Acceleration

s = Distance

Replacing,

Using the conservation of energy for kinetic energy we have,

Therefore the kinetic energy of the car is 31900J