2. One of the rst \"rocket scientists\

2. One of the first "rocket scientists", Robin Hood, knew that if he shot an arrow at some angle 0 above the horizontal it traveled a horizontal distance R. (Sep)lft figure.) a) Find the arrow's initial velocity Vo . Note: The equatio or the horizontal range ofa projectile is not a starting equation and must be derived. b) If he shot the same arrow straight up with th"ame initial speed, what maximum vertical height H would it reach? (See right figure.) Derive an expression for the height Hin terms of R, 0 and constants