15. Bob has just finished climbing a sheer cliff above a beach, and wants to figure out how high he climbed. All he has

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15.
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 beach
below with a long measuring tape. Bob is a pitcher and he knows
that the fastest he can throw the ball is
about 𝑣0=33.7 m/s.v0=33.7 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 𝑡1=0.510 st1=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 𝑥=128 mx=128 m from the base of the
cliff. How high up is Bob, if the ball started exactly 2 m above
the edge of the cliff?