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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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.
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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