How much will the kinetic energy of a school bus increase if its velocity is tripled?

A. It will be two times greater.

B. It will be three times greater.

C. It will be six times greater.

D. It will be nine times greater.

Given a school bus.

Let say initially the school bus is traveling with speed "v"

Let assume mass of school bus is "m"

Then, the initial kinetic energy is

K. E_initial = ½mv²

Now, if the initial velocity is tripled,

Then, the new velocity is

v_new = 3v.

Note: the mass of the school does not change it is constant

Then, new kinetic energy is

K. E_new = ½m (v_new) ²

v_new = 3v

Then,

K. E_new = ½m (3v) ²

K. E_new = ½m * 9v²

K. E_new = 9 * ½mv²

Since K. E = ½mv²

Then,

K. E_new = 9 * K. E

So, the new kinetic energy will be 9 times the initial kinetic energy.

So, option D is correct

D. It will be nine times greater.