Question

A missile has been fired by the Indian Army with an initial velocity u. If the velocity is tripled, what will be the corresponding change in its kinetic energy?

• A. Remains same
• B. Decreases thrice
• C. Increases nine times
• D. Increases thrice

Answer 1

The correct option is C

Increases nine times

The mathematical expression for Kinetic Energy of an object is K.E. = $\frac{1}{2}$ m $v^2$, where m is the mass of the object, v is the velocity of the object. When the velocity increases thrice, the corresponding change in its kinetic energy is 9 times, as kinetic energy is directly proportional to the square of the velocity.