Physics

Problem

Derive an expression for the maximum height

h

reached by a body projected vertically upward with initial speed

u

in terms of

u

and the acceleration due to gravity

g

Intuitive explanation

At maximum height, the body's velocity becomes zero—that's the key turning point. Use the kinematic equation that relates velocity, acceleration, and displacement without needing time: $v^2 = u^2 + 2as$ . Setting $v = 0$ at the peak and recognizing that gravity acts downward (negative acceleration), you can solve directly for the height $h$ .

Intuitive explanation

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