Answer to Question #298138 in Classical Mechanics for arbbi

Question

an arrow leaves a bow at 25m/s (a) what is the maximum range? (b) at what two angles above the the horizontal can it be sent to reach target 50m away?

Answer 1

$l_{max}=\frac{v^2}g=62.5~m,$

$l=l_{max}\sin2\alpha,$

$\sin 2\alpha=\frac l{l_{max}}=\frac 45,$

$\alpha_1=26.6°,$

$\alpha_2=63.4°.$