m An object with mass 50 kg is given an initial downward velocity -4 in a medium that exerts a resistive force with magnitude proportional to the square of the speed. The resistance is 500 N when the velocity is m m -5. Use g = 10- 8 a. Write out a differential equation in terms of the velocity v, and acceleration a 50a=-500+201² b. Find the velocity v(t) for the object 5(1-9e¹) 1+9e¹t x syntax error. Check your variables - you might be using an incorrect one. c. Upload a document with the work for parts a and b and a computer generated graph of the solution. Choose File No file chosen d. State and interpret the end behavior for the solution found in part b.
m An object with mass 50 kg is given an initial downward velocity -4 in a medium that exerts a resistive force with magnitude proportional to the square of the speed. The resistance is 500 N when the velocity is m m -5. Use g = 10- 8 a. Write out a differential equation in terms of the velocity v, and acceleration a 50a=-500+201² b. Find the velocity v(t) for the object 5(1-9e¹) 1+9e¹t x syntax error. Check your variables - you might be using an incorrect one. c. Upload a document with the work for parts a and b and a computer generated graph of the solution. Choose File No file chosen d. State and interpret the end behavior for the solution found in part b.
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An object with mass 50 kg is given an initial downward velocity -4 in a medium that exerts a resistive
S
force with magnitude proportional to the square of the speed. The resistance is 500 N when the velocity is
m
m
-5. Use g = 10-
S
8²
a. Write out a differential equation in terms of the velocity v, and acceleration a
50a-500+20v²
b. Find the velocity v(t) for the object
5(1-9e¹t)
1+9e¹t
V=
x syntax error. Check your variables - you might be using an incorrect one.
c. Upload a document with the work for parts a and b and a computer generated graph of the solution.
Choose File No file chosen
d. State and interpret the end behavior for the solution found in part b.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c49f70f-02c0-4076-b0a5-564b9a6f1d8d%2Fa4d43ccd-eead-491d-9f44-fb82760f915e%2F0t4hg4l_processed.png&w=3840&q=75)
Transcribed Image Text:m
An object with mass 50 kg is given an initial downward velocity -4 in a medium that exerts a resistive
S
force with magnitude proportional to the square of the speed. The resistance is 500 N when the velocity is
m
m
-5. Use g = 10-
S
8²
a. Write out a differential equation in terms of the velocity v, and acceleration a
50a-500+20v²
b. Find the velocity v(t) for the object
5(1-9e¹t)
1+9e¹t
V=
x syntax error. Check your variables - you might be using an incorrect one.
c. Upload a document with the work for parts a and b and a computer generated graph of the solution.
Choose File No file chosen
d. State and interpret the end behavior for the solution found in part b.
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Step 1: Determine the given variables:
VIEWStep 2: Determine the coefficient of resistive force:
VIEWStep 3: a. Write the differential equation in terms of velocity and acceleration:
VIEWStep 4: b. Determine the expression of v(t):
VIEWStep 5: c) Determine the documents and graph:
VIEWStep 6: d. determine the end behavior of the solution found in part b:
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