A rock is thrown into the air from the Golden Gate Bridge and falls into the water below. The height of the rock, h metres, relative to the water t seconds after being thrown is given by h=-5r + 201 + 10. a) Find the maximum height the rock reaches. Show your algebraic work. b) How long does it take the rock to reach this height? c) Correct to one decimal point, how long does it take the rock to reach the water?

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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A rock is thrown into the air from the Golden Gate Bridge and falls into the water below. The height of the
rock, h metres, relative to the water t seconds after being thrown is given by h=-5r² + 20r + 10.
a) Find the maximum height the rock reaches. Show your algebraic work.
b) How long does it take the rock to reach this height?
c) Correct to one decimal point, how long does it take the rock to reach the water?
Transcribed Image Text:A rock is thrown into the air from the Golden Gate Bridge and falls into the water below. The height of the rock, h metres, relative to the water t seconds after being thrown is given by h=-5r² + 20r + 10. a) Find the maximum height the rock reaches. Show your algebraic work. b) How long does it take the rock to reach this height? c) Correct to one decimal point, how long does it take the rock to reach the water?
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