Classical Dynamics of Particles and Systems · Problem 2-8

Oscillations — Marion & Thornton

Physics — Mechanics · projectile-maximum-range-separation

Problem

A projectile is fired with a velocity

v_0

such that it passes through two points both a distance

h

above the horizontal. Show that if the gun is adjusted for maximum range, the separation of the points is

d = \frac{v_0}{g}\sqrt{v_0^2 - 4gh}