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) = 5t² - 6t;0st≤7 OA. As 300- -100 b. v(t) = Graph the velocity function. Choose the correct graph below. OA. Av 80+ -40- Q OB. 100- As -300- OB. Av 40- -80- Q Q Q Q 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.) When is the object moving to the left? The object is moving to the left on (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) c. The velocity of the object at t= 1 is (Simplify your answer.) ... O C. 100- As -300- O C. 80- Q Q G Q Q O D. S 300- H -100- O D. Av 404 -80- Q Q Q Q

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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) = 5t² - 6t; 0≤t≤7
O A.
As
300-
-100-
b. v(t) =
Graph the velocity function. Choose the correct graph below.
A.
Av
80-
-40-
Q
A
B.
100-
-300-
B.
40-
-80-
S
Q
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.)
When is the object moving to the left?
The object is moving to the left on
(Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.)
c. The velocity of the object at t = 1 is
(Simplify your answer.)
O C.
100-
-300-
80-
-40-
>
AS
D.
300-
-100-
D.
-80-
Av
40-
S
Q
Q
Transcribed Image Text: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) = 5t² - 6t; 0≤t≤7 O A. As 300- -100- b. v(t) = Graph the velocity function. Choose the correct graph below. A. Av 80- -40- Q A B. 100- -300- B. 40- -80- S Q 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.) When is the object moving to the left? The object is moving to the left on (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) c. The velocity of the object at t = 1 is (Simplify your answer.) O C. 100- -300- 80- -40- > AS D. 300- -100- D. -80- Av 40- S Q Q
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) = 5t² - 6t; 0≤t≤7
b. v(t) =
Graph the velocity function. Choose the correct graph below.
A.
Av
80-
-40-
t =
Q
O B.
AV
The acceleration of the object at t = 1 is
40-
-80-
When is the object stationary?
(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.)
When is the object moving to the left?
o
The object is moving to the left on
(Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.)
c. The velocity of the object at t= 1 is
(Simplify your answer.)
(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.)
O C.
80-
-40-
V
↑
Q
D.
40-
-80-
V
Transcribed Image Text: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) = 5t² - 6t; 0≤t≤7 b. v(t) = Graph the velocity function. Choose the correct graph below. A. Av 80- -40- t = Q O B. AV The acceleration of the object at t = 1 is 40- -80- When is the object stationary? (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.) When is the object moving to the left? o The object is moving to the left on (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) c. The velocity of the object at t= 1 is (Simplify your answer.) (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.) O C. 80- -40- V ↑ Q D. 40- -80- V
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