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A swimmer bounces stright up from a diving board and falls feet first into a poo

ID: 1586193 • Letter: A

Question

A swimmer bounces stright up from a diving board and falls feet first into a pool. She start with a velocity of 3.2 m/s , and her takeoff point is 1.85 m above the pool.

A) How long are her feet in the air, in seconds?
B) What is her highest point above the board, in meters?
C) Whats is her velocity when her feet hit the water, in meter per second ? Assume the verical compnent of the velocity is positive upwards.



Help me to answer this question please ! A swimmer bounces stright up from a diving board and falls feet first into a pool. She start with a velocity of 3.2 m/s , and her takeoff point is 1.85 m above the pool.

A) How long are her feet in the air, in seconds?
B) What is her highest point above the board, in meters?
C) Whats is her velocity when her feet hit the water, in meter per second ? Assume the verical compnent of the velocity is positive upwards.



Help me to answer this question please !

A) How long are her feet in the air, in seconds?
B) What is her highest point above the board, in meters?
C) Whats is her velocity when her feet hit the water, in meter per second ? Assume the verical compnent of the velocity is positive upwards.



Help me to answer this question please !

Explanation / Answer

ime to reach max height = t = 3.2/g = 3.2/9.81 = 0.3261 s

(b)

max height of feet above board = 1/2gt² = (0.5)(9.81)(0.326)² = 0.52 m ANS

time for feet to fall to water's surface = T = 2(0.52+1.80)/g = 3.72/9.81 = 0.3792 = 0.687 s

(a)

total time feet in the air = t + T = 0.3261 + 0.687 = 1.01 s ANS

(c)

V = 2gh = 2(9.81)(0.52+1.80) = 45.51 = 6.74 m/s ANS

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