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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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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