A rock is thrown upward from a bridge into a river below. The function f(t) = -16t² + 37t + 116 determines the height of the rock above the surface of the water (in feet) in terms of the number of seconds t since the rocket was thrown. **Must show ALL algebraic work to receive full credit.** a. What is the bridge's height above the water? b. How many seconds after being thrown does the rock hit the water?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 4T: The path of a ball is modeled by the function f(x)=120x2+3x+5, where fx is the height (in feet) of...
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A rock is thrown upward from a bridge into a river below. The function f(t) = -16t? +
37t + 116 determines the height of the rock above the surface of the water (in feet) in
terms of the number of seconds t since the rocket was thrown. **Must show ALL
algebraic work to receive full credit.**
a. What is the bridge's height above the water?
b. How many seconds after being thrown does the rock hit the water?
c. How many seconds after being thrown does the rock reach its maximum height above the
water?
d. What is the rock's maximum height above the water?
Transcribed Image Text:A rock is thrown upward from a bridge into a river below. The function f(t) = -16t? + 37t + 116 determines the height of the rock above the surface of the water (in feet) in terms of the number of seconds t since the rocket was thrown. **Must show ALL algebraic work to receive full credit.** a. What is the bridge's height above the water? b. How many seconds after being thrown does the rock hit the water? c. How many seconds after being thrown does the rock reach its maximum height above the water? d. What is the rock's maximum height above the water?
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