Suppose the position of an object moving horizontally after t seconds is given by the following functions = 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? ft) 10t-22; 0 sts 8

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 46SE: Near the surface of the moon, the distance that an object falls is a function of time. It is given...
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Suppose the position of an object moving horizontally after t seconds is given by the following functions = 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?
ft) 10t-22; 0 sts 8
Transcribed Image Text:Suppose the position of an object moving horizontally after t seconds is given by the following functions = 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? ft) 10t-22; 0 sts 8
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