Question

I need help ASAP!!! 30 points!

The graph below shows that the kinetic energy increases more as the velocity goes up. The graph is a curved line, which means the kinetic energy is going up quickly. Mathematically, why is the kinetic energy going up quickly?

Answer 1

Because of what the top line on the sheet says. The formula for kinetic energy is

KE = 1/2 m V^2 .

Notice that it's proportional to the SQUARE of velocity, which rises faster than velocity rises.

Like if velocity doubles, then KE increases to 4 times as much. And if velocity goes up 30 times, then KE goes up to 900 times as much !