Kinetic energy:

Energy that a body has when it is in motion.

Kinetic energy KE = \frac{1}{2} mv^2 . where, m - mass of the body and v - body velocity.

The kinetic energy formula is used to measure the body's mass, velocity, or kinetic energy if any of the other two numerics is given.

Step 1: Finding the kinetic energy of the car.

Given that

Mass of the car, m = 1000 kg

Initial speed of the car, v_0=20m/s

Final speed of the car, v\ =\ 35\ m/s

Initial kinetic energy KE_i=\frac{1}{2}mv_0^2

KE_i = \frac{1}{2} (1000kg) (20m/s)^2

KE_i = 500 * 400

KE_i = 200000 joules

Final kinetic energy KE_f = \frac{1}{2} mv^2

KE_f = \frac{1}{2} (1000kg)(35m/s)^2

KE_f = 500 * 1225

KE_f = 612500 joules

Step 2: Finding the total change in kinetic energy of the car

Change in kinetic energy \Delta KE = KE_f - KE_i

\Delta KE = 612500 - 200000

\Delta KE = 412500

Hence, change in kinetic energy \Delta KE = 412500