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Jamie throws a ball into the air with an initial upward velocity of 68 feet per second from a height of 12 feet. Write a quadratic function to model the situation using h(t) to represent the ball's height in feet and t to represent its time in seconds.

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opudodennis

Answer:

[tex]h(t)=68t+12[/tex]

Step-by-step explanation:

let t= time in seconds, h=height in ft

height at [tex]t_0=12ft[/tex]=[tex]h_o[/tex]

Velocity,v=[tex]68m/s[/tex]

Height=[tex]velocity*time=vt[/tex]

[tex]h_t=h_0+h_(t-0)[/tex]

Therefore height after [tex]t_n[/tex] is obtained by adding height gained to initial height.

[tex]h(t)=68t+12[/tex]

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