A swimmer bounces straight up from a diving board and falls feet first into a pool. She starts with a velocity of 5.00 m/s, and her takeoff point is 1.30 m above the pool. Required:
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?

a

     t =  1.235 s

b

c

Explanation:

From the question we are told that

    The  initial  velocity is

      The  take of height is  

The negative sign show that the height is on the negative y-axis when the take off point is consider as the origin

Generally from the kinematic equation we have that

=>    

Here g is negative given that the swimmers jump motion is against gravity

solving using quadratic formula we obtain that

    t =  1.235 s

Generally the highest point is mathematically evaluated as

Here v =  0 m/s since the velocity at the highest point is 0

Generally her velocity when the feet hits the water is mathematically evaluated from kinematic equation as

The  negative value of the velocity is selected because the velocity is on the negative y-axis

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