2. A tower is 450 meter above the ground. Suppose that a calculus is dropped from the top of the tower. The height h (measured in feet) of the book at time t(in seconds) is given by h(t) = 4.9t². Find the (instantaneous) velocity of the ball after 3 seconds (i.e. at t = 3). (a) Find a formula for the average velocity of the book over the time period [3, t]. Find the average velocity of the book over each of the following time periods. Round your answer to three decimal places. Time Interval Average Velocity Time Interval Average Velocity [2,3] [3,4] [2.5,3] [1.9, 3] [2.99,3] [3,4.5] [3, 4.1] [3, 4.01] [2.999, 3] [3, 4.001] (c) Use the work in part (b) to estimate the instantaneous velocity of the book at time t = 3. Include the units in your answer.
2. A tower is 450 meter above the ground. Suppose that a calculus is dropped from the top of the tower. The height h (measured in feet) of the book at time t(in seconds) is given by h(t) = 4.9t². Find the (instantaneous) velocity of the ball after 3 seconds (i.e. at t = 3). (a) Find a formula for the average velocity of the book over the time period [3, t]. Find the average velocity of the book over each of the following time periods. Round your answer to three decimal places. Time Interval Average Velocity Time Interval Average Velocity [2,3] [3,4] [2.5,3] [1.9, 3] [2.99,3] [3,4.5] [3, 4.1] [3, 4.01] [2.999, 3] [3, 4.001] (c) Use the work in part (b) to estimate the instantaneous velocity of the book at time t = 3. Include the units in your answer.
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
![2.
A tower is 450 meter above the ground. Suppose that a calculus is
dropped from the top of the tower. The height h (measured in feet) of the book
at time t(in seconds) is given by h(t) = 4.9t². Find the (instantaneous) velocity of
the ball after 3 seconds (i.e. at t = 3).
(a)
Find a formula for the average velocity of the book over the
time period [3, t].
(b)
Find the average velocity of the book over each of the following
time periods. Round your answer to three decimal places.
Time Interval Average Velocity Time Interval Average Velocity
[2,3]
[3,4]
[2.5,3]
[1.9, 3]
[2.99, 3]
[3,4.5]
[2.999, 3]
[3,4.1]
[3,4.01]
[3, 4.001]
(c)
Use the work in part (b) to estimate the instantaneous velocity of
the book at time t = 3. Include the units in your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F926015f2-fec7-4789-bf90-0e7fbe957a52%2F490796f7-7326-43a2-a749-1cf2d35906e4%2Fy5xg9ej_processed.png&w=3840&q=75)
Transcribed Image Text:2.
A tower is 450 meter above the ground. Suppose that a calculus is
dropped from the top of the tower. The height h (measured in feet) of the book
at time t(in seconds) is given by h(t) = 4.9t². Find the (instantaneous) velocity of
the ball after 3 seconds (i.e. at t = 3).
(a)
Find a formula for the average velocity of the book over the
time period [3, t].
(b)
Find the average velocity of the book over each of the following
time periods. Round your answer to three decimal places.
Time Interval Average Velocity Time Interval Average Velocity
[2,3]
[3,4]
[2.5,3]
[1.9, 3]
[2.99, 3]
[3,4.5]
[2.999, 3]
[3,4.1]
[3,4.01]
[3, 4.001]
(c)
Use the work in part (b) to estimate the instantaneous velocity of
the book at time t = 3. Include the units in your answer.
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