An object with mass 25 kg is given an initial downward velocity -4 m/s in a medium that exerts a resistive force with magnitude proportional to the square of the speed. The resistance is 40 N when the velocity is -2 m/s. Use g = 10m/s² a) Write out a differential equation in terms of the velocity v, and acceleration a. b) Find the velocity v(t) for the object
An object with mass 25 kg is given an initial downward velocity -4 m/s in a medium that exerts a resistive force with magnitude proportional to the square of the speed. The resistance is 40 N when the velocity is -2 m/s. Use g = 10m/s² a) Write out a differential equation in terms of the velocity v, and acceleration a. b) Find the velocity v(t) for the object
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Transcribed Image Text:An object with mass 25 kg is given an initial downward velocity -4 m/s in a medium
that exerts a resistive force with magnitude proportional to the square of the speed. The
resistance is 40 N when the velocity is -2 m/s. Use g = 10m/s²
a) Write out a differential equation in terms of the velocity v, and acceleration a.
b) Find the velocity v(t) for the object
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