A car traveling at 45 ft/sec begins decelerating (time is zero here, as is position) at a constant 5 feet per second squared. How many feet does the car travel before coming to a complete stop? Yet another hint: is the acceleration positive or negative? Then, determine the velocity function by integrating the acceleration function, and solving for C (the fixed point will be the velocity of the car at t-0). Integrate the velocity function to determine the position function, and solve for C (the fixed point will be the position when t=0 - and I gave that info above). One more thing...to find how long it will take to stop (which you will need in order to determine how many feet it takes to stop) you will need to use the velocity function and solve for t when v(t)=0. whew!! Maybe not so easy?!?
A car traveling at 45 ft/sec begins decelerating (time is zero here, as is position) at a constant 5 feet per second squared. How many feet does the car travel before coming to a complete stop? Yet another hint: is the acceleration positive or negative? Then, determine the velocity function by integrating the acceleration function, and solving for C (the fixed point will be the velocity of the car at t-0). Integrate the velocity function to determine the position function, and solve for C (the fixed point will be the position when t=0 - and I gave that info above). One more thing...to find how long it will take to stop (which you will need in order to determine how many feet it takes to stop) you will need to use the velocity function and solve for t when v(t)=0. whew!! Maybe not so easy?!?
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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