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 friend on the ground below with a long measuring tape. Bob is a pitcher, and knows that the fastest he can throw the ball is about 32.5m/s. Bob starts the stopwatch as he throws the ball and watches carefully. The ball rises and then falls, and after 0.510 seconds the ball is once again level with Bob. Bob's friend then measures that the ball landed 123m from the base of the cliff. How high is Bob, if the ball started from 2m?

Question

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 friend on the ground below with a long measuring tape.  Bob is a pitcher, and knows that the fastest he can throw the ball is about 32.5m/s. Bob starts the stopwatch as he throws the ball and watches carefully.  The ball rises and then falls, and after 0.510 seconds the ball is once again level with Bob. Bob's friend then measures that the ball landed 123m from the base of the cliff. How high is Bob, if the ball started from 2m?