An object moving along a horizontal coordinate line has directed distance s(t) = 4t³ +9t² - 30t + 5 feet at the end of t seconds. (a) Give the the instantaneous velocity and instantaneous acceleration of the particle at any time t. (b) Determine the time intervals when the object is speeding up or slowing down. (c) Give the total distance covered by the object after 2 seconds.

An object moving along a horizontal coordinate line has directed distance s(t) = 4t³ +9t² - 30t + 5 feet at the end of t seconds. (a) Give the the instantaneous velocity and instantaneous acceleration of the particle at any time t. (b) Determine the time intervals when the object is speeding up or slowing down. (c) Give the total distance covered by the object after 2 seconds.

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...

See similar textbooks