Suppose the position of an object moving horizontally after t seconds is given by the following function s = f(t), where s is measured in feet, with s>0 corresponding to positions right of the origin. a. Graph the position function. b. Find and graph the velocity function. When is the object stationary, moving to the right, and moving to the left? c. Determine the velocity and acceleration of the object at t = 1. d. Determine the acceleration of the object when its velocity is zero. e. On what intervals is the speed increasing? f(t) = t³ - 9t² +24t; 0 ≤t≤6

Suppose the position of an object moving horizontally after t seconds is given by the following function s = f(t), where s is measured in feet, with s>0 corresponding to positions right of the origin. a. Graph the position function. b. Find and graph the velocity function. When is the object stationary, moving to the right, and moving to the left? c. Determine the velocity and acceleration of the object at t = 1. d. Determine the acceleration of the object when its velocity is zero. e. On what intervals is the speed increasing? f(t) = t³ - 9t² +24t; 0 ≤t≤6

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.3: Rates Of Change

Problem 16E

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