SOLUTION: A log is floating on swiftly moving water. A stone is dropped from rest from a 75-m high bridge and lands on the log as it passes under the bridge. (a) What is the velocity of th

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Question 1191829: A log is floating on swiftly moving water. A stone is dropped from rest from a 75-m high bridge and lands on the log as it passes under the bridge.
(a) What is the velocity of the stone when it lands on the log?
(b) How long does it take the stone to reach the log?
(c) If the log moves with a constant speed of 5.0 m/s, what is the horizontal distance between the log and the bridge when the stone is dropped?

Answer by Alan3354(69443) About Me  (Show Source):
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A log is floating on swiftly moving water. A stone is dropped from rest from a 75-m high bridge and lands on the log as it passes under the bridge.
(a) What is the velocity of the stone when it lands on the log?
Using 10 m/sec/sec for gravity:
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s = at^2/2 = 75
5t^2 = 75
t = 5 seconds to impact.
v = at = 10*5 = 50 m/sec
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(b) How long does it take the stone to reach the log?
5 seconds as in (a)
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(c) If the log moves with a constant speed of 5.0 m/s, what is the horizontal distance between the log and the bridge when the stone is dropped?
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Find the hypotenuse with sides of 25 & 75 meters