Follow two steps below to derive Eq. (6): i. Insert the angular acceleration from Eq. (2) and the moment of inertia from Eq. (5) into RHS of Eq. (4) and find the friction in terms of these quantities. ii. Insert the friction obtained in i. into Eq. (3) and rearrange it to get Eq. (6)

During a medieval siege of a castle, the attacking army uses a trebuchet to hurl heavy stones at the castle walls. if the trebuchet launches the stones with a velocity of at an angle of 50.0°, (a) how long does it take the stone to hit the ground? (b) what is the maximum distance that the trebuchet can be from the castle wall to be in range? (c) how high will the stones go? show all your work.