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)=31²-2t;0st≤3 CELEB The acceleration of the object at t= 1 is (Simplify your answer.) d. The acceleration of the object when its velocity is zero is (Simplify your answer.) e. On what intervals is the speed increasing? The speed is increasing on the interval(s). (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.)

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ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
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Please answer part e! Not understanding how to find intervals
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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 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)=3t²-2t; 0≤t≤3
CECE
The acceleration of the object at t= 1 is
(Simplify your answer.)
d. The acceleration of the object when its velocity is zero is
(Simplify your answer.)
▼
e. On what intervals is the speed increasing?
The speed is increasing on the interval(s).
(Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.)
Time Remaining: 01:04:34
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Transcribed Image Text:esc 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)=3t²-2t; 0≤t≤3 CECE The acceleration of the object at t= 1 is (Simplify your answer.) d. The acceleration of the object when its velocity is zero is (Simplify your answer.) ▼ e. On what intervals is the speed increasing? The speed is increasing on the interval(s). (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) Time Remaining: 01:04:34 Type here to search O 29 OB 12 7 2 33 # الا 3 * 14 $ 4 101 % 5 fe 6 17 4- & 7 hp fa * + 00 8 19 ( 9 fio VII 89°F O - 112 + Ne 10:54 6/20/2 C
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