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Jaime wants to create a model for the bounce height of a certain brand of Bouncy...

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Basic Math

Jaime wants to create a model for the bounce height of a certainbrand of Bouncy Ball. After setting the initial velocity at whichthe ball is thrown and performing several bounces, you and Jaimefind that the ball typically reaches a maximum height of 60 inches0.5 seconds after the first bounce. 1) Assume that the path of theball is quadratic. Graph the path of the ball from the first bounceuntil the second bounce. Let t = 0 represent the time at which theball bounces on the floor for the first time. (t=1 would representthe time that the ball bounces on the floor for second time).PLEASE SHOW WORK

2) Find both of the x-intercepts for the quadratic function thatmodels the relationship between time after the first bounce andheight above the floor.

3) What is the vertex of the quadratic function?

4) Use the formula for a quadratic function h(t) = at2 +bt + calong with your 3 data points to solve for a, b and c.

5) Use the zeros of the function to determine the factors of thequadratic function. Write the function in factored form.

6) Write the model of bounce height over time in polynomial formby multiplying out the factors, and including the values found in4) for a, b and c.

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