A cannon fires a cannonball at an infinitely tall castle a horizontal distance d away from the cannon. The cannon makes angle ? with the horizontal, and the initial speed of the cannonball is v0.
(a) Find the time t required for the cannonball to reach the castle. State your answer in terms of v0, and d.
(b) Find the x- and y- components of the cannonball's velocity vector as it hits the wall. State your answers in terms of v0, and d.
(c) What angle does the cannonball's velocity vector make with the horizontal as it strikes the castle? State your answers in terms of v0, and d.
(d) When the cannonball strikes the castle, the velocity vector of the cannonball is 20o above the horizontal. If the initial speed of the cannonball was 50m/s, and the launch angle was 40° above the horizontal, what is the horizontal distance between the cannon and the castle?