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Solved: A swimmer bounces straight up from a diving board

Chapter 2, Problem 46

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QUESTION:

A swimmer bounces straight up from a diving board and falls feet first into a pool. She starts with a velocity of 4.00 m/s, and her takeoff point is 1.80 m above the pool. (a) How long are her feet in the air? (b) What is her highest point above the board? (c) What is her velocity when her feet hit the water?

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QUESTION:

A swimmer bounces straight up from a diving board and falls feet first into a pool. She starts with a velocity of 4.00 m/s, and her takeoff point is 1.80 m above the pool. (a) How long are her feet in the air? (b) What is her highest point above the board? (c) What is her velocity when her feet hit the water?

ANSWER:

Step 1 of 4

a.) In solving this problem our reference point to measure the distance is from the diving board and that the direction upwards is positive.

Using the kinematic equation, \(y=y_{0}+v_{0} t+\frac{1}{2} a t^{2}\). We can find how long her feet were in the air.

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