An object moves along the y-axis (marked in feet) so that its position at time x seconds) is given by the function f(x) = x - 9x2 + 24x. a. Find the instantaneous velocity function v =f'(x). b. Find the velocity when x= 1. c. Find the time(s) when v= 0. a. = b. The velocity of the object at x = 1 is ft/s. (Simplify your answer.) c. The velocity is zero at x = seconds. (Simplify your answer. Use a comma to separate answers as needed.)
An object moves along the y-axis (marked in feet) so that its position at time x seconds) is given by the function f(x) = x - 9x2 + 24x. a. Find the instantaneous velocity function v =f'(x). b. Find the velocity when x= 1. c. Find the time(s) when v= 0. a. = b. The velocity of the object at x = 1 is ft/s. (Simplify your answer.) c. The velocity is zero at x = seconds. (Simplify your answer. Use a comma to separate answers as needed.)
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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