SOLUTION: Please help me! Anne Pelletier won a bronze medal in the women's springboard competition at the 1996 Summer Olympics in Atlanta. Pelletier somersaults from a 3 m springboard. He

Question 237389: Please help me!
Anne Pelletier won a bronze medal in the women's springboard competition at the 1996 Summer Olympics in Atlanta. Pelletier somersaults from a 3 m springboard. Her height, h metres, above the water t seconds after she leaves the board is given by . How long is it until Pelletier reaches the water? How high is she after 0.5 seconds?

Thank you!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
somersaults from a 3 m springboard. Her height, h metres, above the water t seconds after she leaves the board is given by: h = -4.9t^2 + 8.8t + 3 .
How long is it until Pelletier reaches the water?
:
We she enters the water, h=0, therefore find t when h=0:
-4.9t^2 + 8.8t + 3 = 0
Use the quadratic formula to find the positive solution here:

In this problem x=t; a=-4.9; b=8.8; c=3

:
We want the positive solution only

t =
t = +2.1 sec to strike the water
:
How high is she after 0.5 seconds?
h = -4.9(.5^2) + 8.8(.5) + 3
:
h = -4.9(.25) + 4.4 + 3
:
h = -1.225 + 4.4 + 3
:
h = 6.175 meters high in .5 seconds

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