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

Jaime wants to create a model for the bounce height of a certain brand of Bouncy Ball. After setting the initial velocity at which the ball is thrown and performing several bounces, you and Jaime find that the ball typically reaches a maximum height of 60 inches 0.5 seconds after the first bounce. 1) Assume that the path of the ball is quadratic. Graph the path of the ball from the first bounce until the second bounce. Let t = 0 represent the time at which the ball bounces on the floor for the first time. (t=1 would represent the 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 that models the relationship between time after the first bounce and height above the floor.

3) What is the vertex of the quadratic function?

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

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

6) Write the model of bounce height over time in polynomial form by multiplying out the factors, and including the values found in 4) for a, b and c.

Expert Solution

milcah answered 2 years ago

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