The time tM to the maximum height of an object of mass m launched from the the ground with initial velocity, V . The force of air resistance must be taken into account and it is proportional to the velocity of the object with proportionality constant k. (a) Find the dimensions of k.

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.