Bob has just finished climbing a sheer cliff above a beach, andwants to figure out how high he climbed. All he has to use,however, is a baseball, a stopwatch, and a friend on the groundbelow with a long measuring tape. Bob is a pitcher, and knows thatthe fastest he can throw the ball is about 33.7 m/s. Bob starts thestopwatch as he throws the ball (with no way to measure the ball\'sinitial trajectory), and watches carefully. The ball rises and thenfalls, and after 0.710 seconds the ball is once again level withBob. Bob can\'t see well enough to time when the ball hits theground. Bob\'s friend then measures that the ball landed 127 m fromthe base of the cliff. How high up is Bob, if the ball started fromexactly 2 m above the edge of the cliff?
