A rock is thrown upward from a bridge that is 59 feet above a road. The...

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A rock is thrown upward from a bridge that is 59 feet above aroad. The rock reaches its maximum height above the road 0.9seconds after it is thrown and contacts the road 2.4 seconds afterit was thrown.

Write a function f that determines the rock's height above theroad (in feet) in terms of the number of seconds t since the rockwas thrown.

f(t)=   

Hint: the function f can be written in the formf(t)=c?(t?t1)(t?t2) for fixed numbers c, t1, and t2.

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