h = = h(t) 16t2 + 96t + 112 models the height h (feet), at time t (seconds), of an object thrown straight up from initial height of 112 feet. 3 4 5 6 From topics developed in class, (a) The average velocity on the interval [a, b] is the slope of the from (a, f(a)) to (b, f(b)). (b) The instantaneous velocity at a = c is the slope of the at (c, f(c)) (c) Consider the following table of average velocities. interval average velocity [1.9, 2] 33.6 [1.95, 2] | 32.8 [1.99, 2| 32.159999999999 [2, 2.01] | 31.84 Using the table, the instantaneous velocity of the object at time t = 2 is (feet/second)
h = = h(t) 16t2 + 96t + 112 models the height h (feet), at time t (seconds), of an object thrown straight up from initial height of 112 feet. 3 4 5 6 From topics developed in class, (a) The average velocity on the interval [a, b] is the slope of the from (a, f(a)) to (b, f(b)). (b) The instantaneous velocity at a = c is the slope of the at (c, f(c)) (c) Consider the following table of average velocities. interval average velocity [1.9, 2] 33.6 [1.95, 2] | 32.8 [1.99, 2| 32.159999999999 [2, 2.01] | 31.84 Using the table, the instantaneous velocity of the object at time t = 2 is (feet/second)
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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![h = h(t) =
16t2 + 96t + 112
models the height h (feet), at time t (seconds), of an
object thrown straight up from initial height of 112
feet.
4
From topics developed in class,
(a) The average velocity on the interval [a, b] is the
slope of the
from (a, f(a)) to
(b, f(b)).
(b) The instantaneous velocity at x = c is the
slope of the
at (c, f(c))
(c) Consider the following table of average
velocities.
interval
average velocity
[1.9, 2]
33.6
(1.95, 2]
32.8
1.99, 2]| 32.159999999999
[2, 2.01] | 31.84
Using the table, the instantaneous velocity of the
object at time t = 2 is
(feet/second)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad324044-1eec-4204-abd9-98ebcc993d28%2Fdf178c25-a034-4f72-b3c3-9d568e13dddb%2Fx9qg4u6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:h = h(t) =
16t2 + 96t + 112
models the height h (feet), at time t (seconds), of an
object thrown straight up from initial height of 112
feet.
4
From topics developed in class,
(a) The average velocity on the interval [a, b] is the
slope of the
from (a, f(a)) to
(b, f(b)).
(b) The instantaneous velocity at x = c is the
slope of the
at (c, f(c))
(c) Consider the following table of average
velocities.
interval
average velocity
[1.9, 2]
33.6
(1.95, 2]
32.8
1.99, 2]| 32.159999999999
[2, 2.01] | 31.84
Using the table, the instantaneous velocity of the
object at time t = 2 is
(feet/second)
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