6. A cannonball is launched. The height of the cannonball, h, in metres, above the ground at time t, in seconds, is modelled by the function h(t) = 7.30t² + 28t - 8 a) Determine the average rate of change (in metres) of the rocket's height between 2 s and 4 S. 13 b) find the instantaneous rate of change of the height of the cannonball at 6 s without using the difference quotient. 13
6. A cannonball is launched. The height of the cannonball, h, in metres, above the ground at time t, in seconds, is modelled by the function h(t) = 7.30t² + 28t - 8 a) Determine the average rate of change (in metres) of the rocket's height between 2 s and 4 S. 13 b) find the instantaneous rate of change of the height of the cannonball at 6 s without using the difference quotient. 13
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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Transcribed Image Text:6. A cannonball is launched. The height of the cannonball, h, in metres, above the ground at time t, in
seconds, is modelled by the function
h(t) = 7.30t² + 28t - 8
a) Determine the average rate of change (in metres) of the rocket's height between 2 s and 4
S.
13
b) find the instantaneous rate of change of the height of the cannonball at 6 s without using the difference
quotient.
13
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