In calculus, neglecting air resistance, the formula for range is R = v(0)^2 sin 2A/g, where v(0) is the initial speed, A is the angle, and g is the acceleration of gravity. Here v(0) = 20 m/s, and g is a constant.
<span>R = 400 sin 2A </span>
<span>For maximum range, sin 2A = 1, so 2A= 90°, and A= 45 </span><span> 45 degrees is my answer.</span>
Neglecting air resistance, the greatest horizontal distance always results from a launch angle of 45<span>° above the horizon, no matter what the initial speed is. This is a handy thing to know. You'll use it many times, and you should carry it in your toolbox (i.e. memorize it). </span>
