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

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
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Chapter3: Vectors
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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 att=1.
d. Determine the acceleration of the object when its velocity is zero.
e. On what intervals is the speed​ increasing?\
 
​f(t)=24t−4t^2 ​; 0≤t≤8
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