1. An archer res an arrow directly up into the air. The arrow has a mass, m, and leaves the bow with an initial velocity, if\" in the +y direction. Air resistance can be neglected. Refer to the magnitude of the gravitational acceleration as .9- a} What is the net force acting on the arrow when it is in the air after leaving the how? h) The arrow travels through a distance H before coming instantaneously to rest and then begins to fall down. What is the total work done by gravity in bringing the arrow to rest? (Express your answer in terms of m, g, and H.) c) What is the change in the kinetic energy of the arrow from the instant that it is launched to when it reaches its maximum height? (Express your answer in terms of the magnitude of if\"! and the mass of the arrow, :11.) d) Use the results of parts {b} and (c) to get an expression for the maximum height, H, in terms of the given variables