A rock is thrown upward from a bridge that is 53 feet above a road. The rock reaches its maximum height above the road 0.95 seconds after it is thrown and contacts the road 3.21 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)=f(t)= syntax error
A rock is thrown upward from a bridge that is 53 feet above a road. The rock reaches its maximum height above the road 0.95 seconds after it is thrown and contacts the road 3.21 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)=f(t)= syntax error
Chapter3: Functions
Section3.1: Functions And Function Notation
Problem 88SE: The amount of garbage, G, produced by a city with population p is given by G=f(p) . G is measured in...
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A rock is thrown upward from a bridge that is 53 feet above a road. The rock reaches its maximum height above the road 0.95 seconds after it is thrown and contacts the road 3.21 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)=f(t)= syntax error
Helpful Hints:
(1). Draw a picture of ff by hand. Recall that the axis of symmetry goes through the vertex. The zeros of ff are both the same distance from the axis of symmetry. You can use this to find the second zero of ff.
(2). The function ff can be written in factored form f(t)=c⋅(t−t1)(t−t2)f(t)=c⋅(t-t1)(t-t2) for fixed numbers cc, t1t1, and t2t2.
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