Posted by lau on Monday, May 24, 2010 at 12:43am.
Use the height of the cliff to predict the time to fall, t1.
t1 = sqrt (2H/g)= 2.917 s
The delay time to hear the splash
t2 = 3.08 - 2.917 s,
tells you how far away it hits the water, S = t2*343 = 55.9 m
which is a combination of vertical and horizontal displacement, H and X. Use the Pythagorean theorem
S^2 = H^2 + X^2
to get the horizontal displacement when the ball hits the water:
X = sqrt[(55.9)^2 - (41.7)^2] = 37.2 m
The initial speed of the rock, which was horizontal, equals X divided by the fall time, t1.
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