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The question: A lead ball is dropped into a lakefrom a diving board 5.28 m above

ID: 1759129 • Letter: T

Question

The question: A lead ball is dropped into a lakefrom a diving board 5.28 m abovethe water. It hits the water with a certain velocity and then sinksto the bottom with this same constant velocity. It reaches thebottom 4.96 s after it isdropped. (Assume the positive direction is upward.)
a) How deep is the lake?    39.6117 m (my correctanswer)
b) What is the average velocity of the ball?    9.0507 m/s (my incorrectanswer)
I'd appreciate if someone could help me out with findingthe correct answer. Thank you!
a) How deep is the lake?    39.6117 m (my correctanswer)
b) What is the average velocity of the ball?    9.0507 m/s (my incorrectanswer)
I'd appreciate if someone could help me out with findingthe correct answer. Thank you!

Explanation / Answer

Average velocity is simply defined as total displacement divided bythe total time. vav = d/t = (-5.28 m - 39.6117 m)/(4.96 s) =-9.0507 m/s You must remember that the positive direction is upward so thetotal displacement and the average velocity are negative.

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