An object with a mass of 44.0 kg is fired with an initial speed of 1.34 102 m/s at an angle of 30.0° above the horizontal from a 150 m high cliff (take ground level to be y = 0 m). (a) Determine the initial total mechanical energy (in J) of the system of the projectile and the earth. (b) If when the projectile is at its maximum height of y = 337 m, it is traveling 95.0 m/s, determine the amount of work (in J) that has been done on the projectile by air resistance. (c) What is the speed (in m/s) of the projectile immediately before it hits the ground, if air resistance does one and a half times as much work on the projectile when it is going down as it did when it was going up?