3.6.15 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. %3D 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) = 5t - 6t; 0sts7 %3D b. v(t) = 10t -6 Graph the velocity function. Choose the correct graph below. A. OB OC. OD Av 80- Av AV 40- AV 80 40- -40- -80- -80J 40 When is the object stationary? t= (Simplify your answer. Use a comma to separate answers as needed.) When is the object moving to the right? The object is moving to the right on. (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) Enter your answer in the answer box and then click Check Answer. 5 parts remaining Clear All Check Atr

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
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Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Vectors
Section: Chapter Questions
Problem 35AP: A person going for a walk follows the path shown in Figure P3.35. The total trip consists of four...
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3.6.15
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.
%3D
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) = 51 - 6t; 0sts7
b. v(t) = 10t - 6
Graph the velocity function. Choose the correct graph below.
A.
O B
Oc.
OD.
Av
80-
Av
AV
40-
AV
80-
40-
Q
-40-
-80-
-80
40
When is the object stationary?
t3=
(Simplify your answer. Use a comma to separate answers as needed.)
When is the object moving to the right?
The object is moving to the right on-
(Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.)
Enter your answer in the answer box and then click Check Answer.
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remaining
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000 F4
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W
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tab
Transcribed Image Text:3.6.15 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. %3D 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) = 51 - 6t; 0sts7 b. v(t) = 10t - 6 Graph the velocity function. Choose the correct graph below. A. O B Oc. OD. Av 80- Av AV 40- AV 80- 40- Q -40- -80- -80 40 When is the object stationary? t3= (Simplify your answer. Use a comma to separate answers as needed.) When is the object moving to the right? The object is moving to the right on- (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) Enter your answer in the answer box and then click Check Answer. 5 parts remaining Clear All Check Atewer esc F2 000 F4 F3 F5 F6 F7 F10 # $ & 2 3 7 8 Q W E R Y tab
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