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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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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

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