1. A rock is thrown upward with a velocity of 20 meters per second. Its height, in meters, t seconds later is given by the function h(t) = 20t - 4.9t² a. Determine the average velocity of the rock over the time interval [1,1.1] b. Determine the average velocity of the rock over the time interval [1,1.01] c. Determine the average velocity of the rock over the time interval [1,1.001] d. Using the results from parts a-c, estimate the instantaneous velocity of the rock at 1 second.
1. A rock is thrown upward with a velocity of 20 meters per second. Its height, in meters, t seconds later is given by the function h(t) = 20t - 4.9t² a. Determine the average velocity of the rock over the time interval [1,1.1] b. Determine the average velocity of the rock over the time interval [1,1.01] c. Determine the average velocity of the rock over the time interval [1,1.001] d. Using the results from parts a-c, estimate the instantaneous velocity of the rock at 1 second.
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
Related questions
Question
![1. A rock is thrown upward with a velocity of 20 meters per second. Its height, in meters, t seconds later is
given by the function h(t) = 20t - 4.9t²
a. Determine the average velocity of the rock over the time interval [1,1.1]
b. Determine the average velocity of the rock over the time interval [1,1.01]
C. Determine the average velocity of the rock over the time interval [1,1.001]
d. Using the results from parts a-c, estimate the instantaneous velocity of the rock at 1 second.
2. Use a table of values to estimate the value of the limit. Sketch your table, showing at least six
appropriate inputs and outputs (to five decimal places) that lead to your conclusion.
lim
x→0
√x + 16-4
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b638ef2-9928-44ee-907b-a6bc7b9add08%2Ff4661725-8d00-4762-a982-33ba60782f19%2F4c0ou1r_processed.png&w=3840&q=75)
Transcribed Image Text:1. A rock is thrown upward with a velocity of 20 meters per second. Its height, in meters, t seconds later is
given by the function h(t) = 20t - 4.9t²
a. Determine the average velocity of the rock over the time interval [1,1.1]
b. Determine the average velocity of the rock over the time interval [1,1.01]
C. Determine the average velocity of the rock over the time interval [1,1.001]
d. Using the results from parts a-c, estimate the instantaneous velocity of the rock at 1 second.
2. Use a table of values to estimate the value of the limit. Sketch your table, showing at least six
appropriate inputs and outputs (to five decimal places) that lead to your conclusion.
lim
x→0
√x + 16-4
X
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 6 steps with 9 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell