Physics
Physics
Problem
A ball is projected vertically upward with a speed of 24 m/s. Taking the acceleration due to gravity as 9.8 m/s² downward, determine the maximum height reached above the point of projection. Give your answer to two significant figures.Intuitive explanation
The key insight is that at maximum height, the ball's velocity becomes zero—all its initial kinetic energy has been converted to gravitational potential energy. Rather than tracking the motion in two stages (up and down), use the kinematic equation that directly relates velocity, acceleration, and displacement, eliminating time entirely. This lets you solve for height in one step.
Intuitive explanation
The key insight is that at maximum height, the ball's velocity becomes zero—all its initial kinetic energy has been converted to gravitational potential energy. Rather than tracking the motion in two stages (up and down), use the kinematic equation that directly relates velocity, acceleration, and displacement, eliminating time entirely. This lets you solve for height in one step.