An object with mass 81kg has an initial downward velocity of -85- Assume that the atmosphere exerts S a resistive force with magnitude proportional to the speed. The resistance is -50N when the velocity is m m -5- Use g 10. . 8² m a. Write out a differential equation in terms of the velocity v, and acceleration a b. Find the velocity v(t) for the object c. Upload a document with the work for parts a and b and a solution curve.

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An object with mass 81kg has an initial downward velocity of -85- Assume that the atmosphere exerts
S
a resistive force with magnitude proportional to the speed. The resistance is -50N when the velocity is
m
m
– 5- Use g = 10-
S
.
m
a. Write out a differential equation in terms of the velocity v, and acceleration a
b. Find the velocity v(t) for the object
c. Upload a document with the work for parts a and b and a solution curve.
Choose File No file chosen
d. Interpret the solution by describing what happends to the object. Include the initial conditions and end
behavior for the solution found in part b in your explanation.
Transcribed Image Text:An object with mass 81kg has an initial downward velocity of -85- Assume that the atmosphere exerts S a resistive force with magnitude proportional to the speed. The resistance is -50N when the velocity is m m – 5- Use g = 10- S . m a. Write out a differential equation in terms of the velocity v, and acceleration a b. Find the velocity v(t) for the object c. Upload a document with the work for parts a and b and a solution curve. Choose File No file chosen d. Interpret the solution by describing what happends to the object. Include the initial conditions and end behavior for the solution found in part b in your explanation.
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