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...
icon
Related questions
Question

please show full work and calculations

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
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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning