Consider the following acceleration a = a=32, v(0) = 15, s(0) = 6 d²s initial velocity, and initial position of an object moving on a number line. Find the object's position at time t. dt² The position of the object at time t is given by s= (...)

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
Consider the following acceleration \( a = \frac{d^2s}{dt^2} \), initial velocity, and initial position of an object moving on a number line. Find the object's position at time \( t \).

Given:
- \( a = 32 \)
- \( v(0) = 15 \)
- \( s(0) = 6 \)

The position of the object at time \( t \) is given by \[ s = \boxed{} \]
Transcribed Image Text:Consider the following acceleration \( a = \frac{d^2s}{dt^2} \), initial velocity, and initial position of an object moving on a number line. Find the object's position at time \( t \). Given: - \( a = 32 \) - \( v(0) = 15 \) - \( s(0) = 6 \) The position of the object at time \( t \) is given by \[ s = \boxed{} \]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 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