A 2.5kg cannonball is fired from the top of a cliff. The cannonball leaves the cannon at a height of h=75 m above the ground below. The cannonball is fired at an initial speed of 120 m/s at an angle of θ=30 degrees above the horizontal. Use the coordinate system of up being the +y and right being the +x direction to calculate the following quantities for the motion of the cannonball.
a) what is the maximum height the object reaches?
b) when does the object reach its maximum height?
c) what is the minimum speed of the cannonball?
d) when does the cannonball return to a height of 75m after it has been fired?
e) when does the cannonball hit the ground?
f) what is the speed of the cannonball just before it hits the ground?