Consider a two-dimensional projectile motion problem involving a ball starting and ending at the same height. The projectile leaves the ground with an initial velocity of 10 m/s at some angle theta with the horizontal, (a) What value of the angle theta (in degrees) makes the range of the projectile maximum? Explain, (b) What is the range at this angle? (c) How long does it take for the ball to reach maximum height? (d) What is the maximum height?