Bob has just finished climbing a sheer cliff above a beach and wants to figure out how high he climbed. all he has to use,
however, is a baseball, a stopwatch, and a friend on the ground with a long measuring tape. bob is a pitcher, and knows that
the fastest he can throw the ball is vo = 91.0 mph. bob starts the stopwatch as he throws the ball (with no way to measure
the ball's initial trajectory) and watches carefully. the ball rises and then falls, and after t; = 0.510 s, the ball is once again
level with bob. bob cannot see well enough to time when the ball hits the ground. bob's friend then measures that the ball
landed a distance of x = 387 ft from the base of the cliff. how high up is bob if the ball started from exactly 5 ft above the
edge of the clift?