Homework Help is Here – Start Your Trial Now!
Math
Calculus
If an object is moving with v(t) = 3¹ and the position X(1) = 2, what is the position of the object at t = 5? O 222.457 O 221.457 O 220.457 O 218.457

If an object is moving with v(t) = 3¹ and the position X(1) = 2, what is the position of the object at t = 5? O 222.457 O 221.457 O 220.457 O 218.457

Calculus: Early Transcendentals
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
icon
Related questions
Question

Please explain how to solve, thank you!

### Question If an object is moving with \( v(t) = 3^t \) and the position \( X(1) = 2 \), what is the position of the object at \( t = 5 \)? **Options:** - \( \bigcirc \) 222.457 - \( \bigcirc \) 221.457 - \( \bigcirc \) 220.457 - \( \bigcirc \) 218.457 ### Detailed Explanation This question involves calculating the position of an object given its velocity function \( v(t) \) and an initial position. The velocity function is given as \( v(t) = 3^t \), and we are told that the initial position at \( t = 1 \) is \( X(1) = 2 \). To find the position at \( t = 5 \), we need to integrate the velocity function and use the initial condition to find the constant of integration. Then we can use the resulting position function to determine the position at \( t = 5 \). --- ### Note: There are no graphs or diagrams in this image to explain.
Transcribed Image Text:### Question If an object is moving with \( v(t) = 3^t \) and the position \( X(1) = 2 \), what is the position of the object at \( t = 5 \)? **Options:** - \( \bigcirc \) 222.457 - \( \bigcirc \) 221.457 - \( \bigcirc \) 220.457 - \( \bigcirc \) 218.457 ### Detailed Explanation This question involves calculating the position of an object given its velocity function \( v(t) \) and an initial position. The velocity function is given as \( v(t) = 3^t \), and we are told that the initial position at \( t = 1 \) is \( X(1) = 2 \). To find the position at \( t = 5 \), we need to integrate the velocity function and use the initial condition to find the constant of integration. Then we can use the resulting position function to determine the position at \( t = 5 \). --- ### Note: There are no graphs or diagrams in this image to explain.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS