Question

How fast would the car need to go to double its kinetic energy? 12 m/s?

Answer 1

The car is traveling at v=12m/s. Kinetic energy is given by this formula:

`E_k=(mv^2)/(2)`
We can see that if the kinetic energy depends on the speed quadratically. This means that if you want to increase the kinetic energy x times you would have to increase speed
`√(x)` times. We conclude from this that car would have to go:

`v'=\sqrt2v=\sqrt2\cdot 12=16.97(m)/(s)`