Hello, this problem involves solving displacement and velocity given an equation... given s = f(t) of a body moving on a coordinate line, with s in meters and t in seconds... s = -t^3 + 3t^2, 0 <= t <= 3.  I am supposed to find the displacement and average velocity for the given time interval. I cant write the delta symbol on here, so i'll just spell it out on the function... the average velocity is = to the displacement/travel time.  and the formula for it is  [f(t+DELTAt) - f(t)]/DELTAt     i am not sure what the DELTAt value would be, or how to get it. If you could explain that, and also show what you plugged in where in the formula, that would be great! Also (for instantaneous velocity) the equation is the same except it has a limit as DELTAt approaches 0, would you just plug in 0 for DELTAt in that case? thank you so much

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
icon
Concept explainers
Topic Video
Question

Hello,

this problem involves solving displacement and velocity given an equation...

given s = f(t) of a body moving on a coordinate line, with s in meters and t in seconds... s = -t^3 + 3t^2, 0 <= t <= 3.  I am supposed to find the displacement and average velocity for the given time interval. I cant write the delta symbol on here, so i'll just spell it out on the function... the average velocity is = to the displacement/travel time.  and the formula for it is 

[f(t+DELTAt) - f(t)]/DELTAt     i am not sure what the DELTAt value would be, or how to get it. If you could explain that, and also show what you plugged in where in the formula, that would be great! Also (for instantaneous velocity) the equation is the same except it has a limit as DELTAt approaches 0, would you just plug in 0 for DELTAt in that case?

thank you so much

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
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