A lead ball is dropped into a lake from a diving board 5.00 m above the water

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The lead ball is dropped from a height of 5.00 m and takes 4.60 seconds to reach the bottom of the lake after hitting the water. The time taken to fall through the air is less than 4.60 seconds, allowing for calculations of the velocity upon impact with the water. The speed at which the ball hits the water is the same as its constant sinking velocity. Using the known speed and time, the distance traveled through the water can be calculated. The total depth of the lake can be determined by adding the initial height and the distance traveled underwater.
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A lead ball is dropped into a lake from a diving board 5.00 m above the water. After entering the water, it sinks to the bottom with a constant velocity equal to the velocity with which it hit the water. The ball reaches the bottom 4.60 s after it is released.
how deep is lake?
 
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do you have any idea how distance traveled
depends in time and/or speed?
 
Find out how long it takes for the ball to hit the water. The time of passage through the water is 4.6 s less that time.

Find out the velocity of the ball when it hits the water.
That's the speed with which the ball travels through the water.

You've now got the speed and the time traveled at that speed. Work out the distance travelled.
 
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