Question

What number of times more KE is there when you quadruple the velocity of a moving object?

A) 4 times
B) 8 times
C) 16 times
D) 64 times

Answer 1

Quadrupling the velocity of an object increases its kinetic energy by 16 times, as kinetic energy is directly proportional to the square of the velocity.

Step-by-step explanation:

When you quadruple the velocity of a moving object, the kinetic energy (KE) increases by the square of the factor by which the velocity is increased. The formula for kinetic energy is KE = 0.5 * m * v^2, where m is the mass of the object and v is its velocity. If the velocity is quadrupled (increased by a factor of 4), you would square this factor (4^2), which means the kinetic energy becomes 16 times greater. So the correct answer is C) 16 times more kinetic energy.