If you increase the speed of your car from 30 mph to 60 mph, by how much does your kinetic energy change?

Kinetic energy is calculated using the formula KE = 1/2 mv², where m is the mass of the object and v is its velocity. When you increase the speed of the car from 30 mph to 60 mph, you are effectively doubling the velocity. Since kinetic energy depends on the square of the velocity, the change in kinetic energy can be understood through the following calculation.

If the initial speed is 30 mph, the initial kinetic energy would be KE_initial = 1/2 m(30)². When the speed is increased to 60 mph, the new kinetic energy is KE_final = 1/2 m(60)². Now, calculating the kinetic energies:

• KE_initial = 1/2 m(30)² = 1/2 m(900) = 450m
• KE_final = 1/2 m(60)² = 1/2 m(3600) = 1800m

To find the change in kinetic energy, you subtract the initial kinetic energy from the final kinetic energy:

Change in KE = KE_final - KE_initial = 1800m - 450m = 1350m.

To determine how this relates to the