# How to Calculate Changes in Kinetic Energy for Mr. Kim's Tesla

## What is the initial kinetic energy of Mr. Kim's Tesla when it is traveling at a velocity of 20 m/s?

A. 200 * mass joules

## What is the final kinetic energy when Mr. Kim accelerates to a velocity of 80 m/s?

A. 3200 * mass joules

## By what factor has Mr. Kim and his Tesla changed their kinetic energy?

A. 16

## Initial Kinetic Energy:

Initially, when Mr. Kim's Tesla is traveling at a velocity of 20 m/s, the kinetic energy is calculated using the formula: kinetic energy = 1/2 * mass * velocity^2.

Initial kinetic energy = 1/2 * mass * 20^2 = 1/2 * mass * 400 = 200 * mass joules.

## Final Kinetic Energy:

When Mr. Kim accelerates to a velocity of 80 m/s, the kinetic energy of the Tesla increases to: 1/2 * mass * 80^2 = 1/2 * mass * 6400 = 3200 * mass joules.

## Factor of Change in Kinetic Energy:

To find the factor by which the kinetic energy has changed, we divide the final kinetic energy by the initial kinetic energy:

3200 * mass joules / 200 * mass joules = 16.

**Explanation:** Kinetic energy is the energy of an object in motion and is determined by its mass and velocity. The formula for kinetic energy is KE = 1/2 * mass * velocity^2.

Initially, when Mr. Kim's Tesla is traveling at 20 m/s, the kinetic energy is 200 * mass joules. When he accelerates to 80 m/s, the kinetic energy increases to 3200 * mass joules.

The factor by which the kinetic energy has changed is 16, meaning that the kinetic energy has increased 16 times. This change is calculated by dividing the final kinetic energy by the initial kinetic energy.