3. A boy standing on a bridge throws a small ball into the 1wind. He throws horizontally 1.vith a speed v.3. The wind applies a constant acceleration of aw.2i against tlte motion of the hall. [20 points] a. Derive the equation for the velocity vector of the hall at time t. The components for your vector should he equations involving time. As sume that upward is the positive y-direction and the boy originally throws the hall in the positive :sdirection. [5 points] 1:. Derive the equation for the position vector of the hall at time t. Assume that ball starts a height h above the water under the bridge and the hall is at 35:0 when the boy first throws it. [5 points] c. When the hall hits the water under the bridge: it is traveling exactly vertically downward. Derive an equation for the starting height of the hall (11) in terms of g, v3 and aqua.\" [\"5 points] d. Show that you equation for the height has correct units. [3 points] e. How high is the bridge if the initial speed is 3.5m s and the winds acceleration has a magnitude of2m- 5:. [2 points]