Solve the all parts of following problem:
Problem: According to the Guinness Book of World Records, the longest home run ever measured was hit by Roy Dizzy Carlyle in a minor league game. The ball traveled 188m (618ft) before landing on the ground outside the ballpark.
Part I: Assuming the ball's initial velocity was 52 above the horizontal and ignoring air resistance, what did the initial speed of the ball need to be to produce such a home run if the ball was hit at a point 0.9 (3.0 ft) above ground level? Assume that the ground was perfectly flat.
Part II: How far would the ball be above a fence 3.0 (10 ft) high if the fence was 116 m (380 ft) from home plate?
Please show solution step by step with details.