Question

A moving car has kinetic energy. If it speeds up until it is going 4 times as fast, how much kinetic energy does it have in comparison?

Answer 1

Kinetic energy is proportional to speed squared, because
\[ KE = \frac{1}{2}mv^2 \]

So suppose you are initially traveling at a speed \( v_0 \). Then you travel 4 times faster, at a speed \( 4v_0 \). What is the ratio of the KE in those two cases?

Answer 2

KE=8mV²

Answer 3

Yes and how much more than the original KE is that?

Answer 4

16 more than the original

Answer 5

yes