. You are laying siege to a city with your catapult mounted on top of a large machine. The raised catapult launches boulders with a speed of 20 m/s from 10m above the ground at angle of 500 above the horizontal. Ignore the effects of air resistance.2 a. How close must you bring your catapult to the city in order for the boulder to hit the ground at the nearest edge of the city? Assume the ground is at for miles around. b. What will the speed of the boulder be just before hitting the ground?c. What will the angle of the boulder's velocity be just before it hits the ground? 4. A 500 N couch is being pulled at angle of 60 above the horizontal (think of grabbing the couch and lifting up while also pulling backwards). That static and kinetic coefficients of friction between the couch and the carpet on the ground are 0.6 and 0.35, respectively. a. Will a pulling force of 250 N be able to start moving the couch if it is at rest on the carpet?b. Assuming the couch is already sliding on the carpet, what will the acceleration (magnitude and direction) of the couch be if the same puling force of 250 N is applied