Bob has just finished climbing a sheer cliff above a level beach and wants to figure out how high he climbed. All he has to use is a baseball, a stopwatch, and a 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 0=32.1 m/s. 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 1=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 hit the ground =126 m from the base of the cliff. How high above the beach was the ball when it was thrown? A ball thrown from a cliff edge follows a parabolic trajectory. The ball lands on a beach below after traveling a horizontal distance x from the base of the cliff. The ball is thrown with an initial velocity v subscript 0 at an unknown angle above the horizontal. At time t subscript 1 the ball returns to the height from which it was thrown.
What is the initial height: