-The New River Gorge Bridge is 880 feet above the water below. A bottle rocket is launched upward off the bridge and its height (measured in feet) is described by the function s(t) = -16r +96t + 880 where t is measured in seconds. (a) Find functions that describe the velocity and acceleration of the bottle rocket. (b) When does the bottle rocket reach its maximum height? Include units in your answer. (c) What is the maximum height of the bottle rocket? Include units in your answer. (d) When does the bottle rocket reach the bottom of the gorge? Include units in your answer. (Hint: dividing by 16 will make the computation easier).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please find b)

The New River Gorge Bridge is 880 feet above the water below. A bottle rocket is launched upward off the bridge and its height (measured in feet) is described by the function \( s(t) = -16t^2 + 96t + 880 \) where \( t \) is measured in seconds.

(a) Find functions that describe the velocity and acceleration of the bottle rocket.

(b) When does the bottle rocket reach its maximum height? Include units in your answer.

(c) What is the maximum height of the bottle rocket? Include units in your answer.

(d) When does the bottle rocket reach the bottom of the gorge? Include units in your answer. *(Hint: dividing by 16 will make the computation easier).*
Transcribed Image Text:The New River Gorge Bridge is 880 feet above the water below. A bottle rocket is launched upward off the bridge and its height (measured in feet) is described by the function \( s(t) = -16t^2 + 96t + 880 \) where \( t \) is measured in seconds. (a) Find functions that describe the velocity and acceleration of the bottle rocket. (b) When does the bottle rocket reach its maximum height? Include units in your answer. (c) What is the maximum height of the bottle rocket? Include units in your answer. (d) When does the bottle rocket reach the bottom of the gorge? Include units in your answer. *(Hint: dividing by 16 will make the computation easier).*
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