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2. (15pts, 5pts each) A ball is thrown from the top of a building that is...

2. (15pts, 5pts each) A ball is thrown from the top of a building that is H = 40 m height. It has an initial velocity v0 that is at angle of  = 53° below the horizontal direction, as shown in the below Figure. The ball hits the ground t = 2.0 s after being thrown. You may neglect air resistance.
a) Find the magnitude of the initial velocity v0 of the ball.
b) Find the velocity of the ball just before it hits the ground at 2 s.
c) Sketch graphs of x-position vs. time (x vs. t), y-position vs. time (y vs. t), x-velocity vs. time (vx vs. t) and y-velocity vs. time (vy vs. t) for the motion of the ball while it is in the air.

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