A cannon shoots a cannonball from the ground level (ignore the height of the cannon) to the top edge of a cliff that is 135m high. The cannonball is launched with an initial velocity of 142m/s at an angle 37degrees above the horizontal. Neglect air resistance. Assume the cannonball hits the cliff as it descends (on its way down) exactly at the edge, as shown.
a) Determine the maximum height above the ground reached by the cannonball
b) What speed will the cannonball have at the maximum height?
c) Determine the time it takes the cannonball to hit the cliff. Hint: you should get two positive times. Draw the path to determine which solution is correct.
d) Determine the horizontal distance from the launching point to the base of the cliff.
e) What will be the speed of the ball when it hits the cliff.