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9. A water bottle rolls off a rooftop patio from a height of 80 m. The distance, sin metres, of the bottle above ground after t seconds is modelled by the function s(t)=80-4.91². a) Determine the velocity of the bottle at 3 seconds. b) Determine the velocity of the bottle when it hits the ground. c) Determine the acceleration of the bottle when it hits the ground.

9. A water bottle rolls off a rooftop patio from a height of 80 m. The distance, sin metres, of the bottle above ground after t seconds is modelled by the function s(t)=80-4.91². a) Determine the velocity of the bottle at 3 seconds. b) Determine the velocity of the bottle when it hits the ground. c) Determine the acceleration of the bottle when it hits the ground.

Calculus: Early Transcendentals
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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Question 9
9:46 ... 个 smileldcsbon-my.sharepoint.com ED Info I sides and the potom costs inrer unes the cosIS DI TE SIGES. *Note: 1 mL = 1 cm³ a) Determine the dimensions of the can that minimize the cost of the materials b) What is the minimum cost of the materials? a) Determine the velocity of the bottle at 3 seconds. b) Determine the velocity of the bottle when it hits the ground. c) Determine the acceleration of the bottle when it hits the ground. 9. A water bottle rolls off a rooftop patio from a height of 80 m. The distance, s in metres, of the bottle above ground after t seconds is modelled by the function s(t)=80-4.91². DI -2x²-8 g'(x) = (x-4) LTE O + 10. Give a COMPLETE analysis of the function y = g(x) that is given below. Then sketch and state the domain and range. I have provided you with the simplified derivatives so you can check your work. You need to find the first and second derivative and show your work for FULL MARKS. g(x)=2 g(x)=-4 :) X : ...
Transcribed Image Text:9:46 ... 个 smileldcsbon-my.sharepoint.com ED Info I sides and the potom costs inrer unes the cosIS DI TE SIGES. *Note: 1 mL = 1 cm³ a) Determine the dimensions of the can that minimize the cost of the materials b) What is the minimum cost of the materials? a) Determine the velocity of the bottle at 3 seconds. b) Determine the velocity of the bottle when it hits the ground. c) Determine the acceleration of the bottle when it hits the ground. 9. A water bottle rolls off a rooftop patio from a height of 80 m. The distance, s in metres, of the bottle above ground after t seconds is modelled by the function s(t)=80-4.91². DI -2x²-8 g'(x) = (x-4) LTE O + 10. Give a COMPLETE analysis of the function y = g(x) that is given below. Then sketch and state the domain and range. I have provided you with the simplified derivatives so you can check your work. You need to find the first and second derivative and show your work for FULL MARKS. g(x)=2 g(x)=-4 :) X : ...
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