Question

If one vehicle is going 20 mph and another is going 60 mph, the one going 60 mph has __9____ times the force at impact as the one going 20 mph.

Answer 1

Assuming that both vehicles have the same mass: It´s 9 times

Explanation:

You can use the formula for kinetic energy which is:
`K = (mv^2)/(2)`

We can calculate two different values for each speed. We assume that the mass is "m"

`K_1 = (m(20)^2)/(2) = (400m)/(2) = 200m\\\\K_2 = (m(60)^2)/(2) = (3600m)/(2) = 1800m\\\\`

As you can see the K2 is 9 times bigger than K1