A rock is thrown upward from a bridge that is 37 feet above a road. The rock reaches its maximum height above the road 0.72 seconds after it is thrown and contacts the road 3.76 seconds after it was thrown. Write a function f that determines the rock's height above the road (in feet) in terms of the number of seconds t since the rock was thrown. f(t)= Hint: The function f can be written in the form f(t) = c(t - t₁)(t - t₂) for fixed numbers c, t₁, and t2. Preview
A rock is thrown upward from a bridge that is 37 feet above a road. The rock reaches its maximum height above the road 0.72 seconds after it is thrown and contacts the road 3.76 seconds after it was thrown. Write a function f that determines the rock's height above the road (in feet) in terms of the number of seconds t since the rock was thrown. f(t)= Hint: The function f can be written in the form f(t) = c(t - t₁)(t - t₂) for fixed numbers c, t₁, and t2. Preview
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A rock is thrown upward from a bridge that is 37 feet above a road. The rock reaches
its maximum height above the road 0.72 seconds after it is thrown and contacts the
road 3.76 seconds after it was thrown.
Write a function f that determines the rock's height above the road (in feet) in terms of
the number of seconds t since the rock was thrown.
f(t) =
Hint: The function f can be written in the form f(t) = c(t ti) (t - t₂) for fixed
numbers c, t₁, and t2.
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