Question

A rock is thrown upward from a bridge that is 71 feet above a road. The rock reaches its maximum height above the road 0.61 seconds after it is thrown and contacts the road 3.25 seconds after it was thrown.

Write a function ff that determines the rock's height above the road (in feet) in terms of the number of seconds tt since the rock was thrown.

F(t)=

Hint: the function ff can be written in the form f(t)=c⋅(t−t1)(t−t2)f(t)=c⋅(t-t1)(t-t2) for fixed numbers cc, t1t1, and t2t2.

Answer 1