1. Given the position function: s(t) = 2t – 21:2 + 60t, te[0,6], time in seconds, position in metres. a) Determine the velocity function [1] b) Determine the acceleration function (1] c) Sketch the velocity and acceleration functions on the same axes [2]

Calculus: Early Transcendentals
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Author:James Stewart
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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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This is a very old practice given by my teacher for extra review. 

1. Given the position function: s(t) = 2t – 21t2 + 60t, te[0,6], time in seconds, position in
metres.
a) Determine the velocity function
(1)
b) Determine the acceleration function
(1)
c) Sketch the velocity and acceleration functions on the same axes
[2]
d) Using your graphs, determine the following:
i) time(s) when the object is stopped
(6]
i) whether the object is speeding up or slowing down at t = 3 and t = 1
ii) whether the object is moving forward or backward at t = 3 andt = 6
Transcribed Image Text:1. Given the position function: s(t) = 2t – 21t2 + 60t, te[0,6], time in seconds, position in metres. a) Determine the velocity function (1) b) Determine the acceleration function (1) c) Sketch the velocity and acceleration functions on the same axes [2] d) Using your graphs, determine the following: i) time(s) when the object is stopped (6] i) whether the object is speeding up or slowing down at t = 3 and t = 1 ii) whether the object is moving forward or backward at t = 3 andt = 6
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