The position of an object in meters at ŉ seconds can be described by the position function s (t) = at³ + bt² + ct+d, where a is -29, b is 4, c is 31, and d is 71. What is the acceleration of the object in m/s² at t =65 seconds?

Answered: Image /qna-images/answer/dd5b87c9-ab32-4c19-a5d1-81175a112a68.jpg

Answered: The position of an object in meters at…

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...

See similar textbooks

Similar questions

Suppose that an object is dropped from a height h. Its velocity v at impact with the ground is given by the square root of twice the product of the acceleration due to gravity g and the height h. Write a model to represent the velocity of the object at impact.
Two students want to measure the acceleration a of a cart rolling down an inclined plane. The cart starts at rest and travels a distance s down the plane. The first student estimates the acceleration by measuring the instantaneous velocity v just as the cart has traveled s meters, and uses the formula a = v²/2s. The second student estimates the acceleration by measuring the time, in seconds, that the cart takes to travel s meters, and uses the formula a = 2s/t. Assume that s = 1 m, and that there is negligible uncertainty in s. Assume that v = 3.2 + 0.1 m/s and that t = 0.63 + 0.01 s. Assume that the measurements of v and t are independent. Compute the acceleration using the method of the first student. Call this estimate az. Find the uncertainty in a̟. a. b. Compute the acceleration using the method of the second shudent. Call this estimate az. Find the uncertainty in a,. Find the weighted average of a, and a, that has the smallest uncertainty. Find the C. uncertainty in this weighted…
A car moved distance S meters in a timet seconds, according to the formula S = 3t3 – 2t? + 4t – 1. Determine: 1.1 velocity at (i) t = 0, (ii)t = 1.5s. 1.2 Acceleration at (i) t = 0, (ii)t = 1.5s.

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

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

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

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

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

The position of an object in meters at t seconds can be described by the position function s (t) = at³+bt² + ct+d, where a is -29, b is 4, c is 31, and d is 71. What is the acceleration of the object in m/s² at t = 65 seconds?