An object propelled from the ground with an initial velocity of 95 ft/s will reach a maximum height of 141.0 ft. If the initial velocity is increased 13%, by what percentage will the maximum height increase? Round percentages to the nearest integer.
A) 13%
B) 28%
C) 2%
D) 22%

Question

Quizplus · Accepted Answer

The maximum height reached by a projectile is proportional to the square of its initial velocity. Increasing the initial velocity by 13% increases the velocity to 1.13 times the original. The square of 1.13 is approximately 1.2769, indicating a 27.69% increase in maximum height, which rounds to 28%.

An Object Propelled from the Ground with an Initial Velocity