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 v0 = 76.0 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 t1 = 0.910 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 = 376 ft. from the base of the cliff. The gravitational acceleration in imperial units is 32.2 f/s2. How tall hc is the cliff if Bob threw the ball from exactly 5 ft above the cliff edge? hc =
