1. Understand the Formula

The kinetic energy (KE) of an object is given by:

KE = (1/2) * m * v²

Where:

* KE is kinetic energy (in Joules)

* m is mass (in kilograms)

* v is velocity (in meters per second)

2. Rearrange the Formula to Solve for Velocity

We need to solve for 'v', so let's rearrange the formula:

v² = (2 * KE) / m

v = √((2 * KE) / m)

3. Plug in the Values

* KE = 200 kJ = 200,000 J (Remember to convert kilojoules to joules)

* m = 1000 kg

v = √((2 * 200,000 J) / 1000 kg)

v = √(400) m/s

v = 20 m/s

Therefore, the velocity of the 1000 kg car is 20 m/s.