An archer shoots an arrow over a castle wall by launching it with an initial speed of 28 m/s at 65° above horizontal. Assume the arrow lands on the other side of the castle wall at the same elevation as the launch point.
(a) What maximum height does the arrow attain?
(b) What is the range of the arrow's flight?
(c) What is the vertical component of the arrow's velocity just before it lands on the other side of the castle wall?