An object is dropped from some height above ground. Air resistance on the object is given...
An object is dropped from some height above ground. Air resistance on the object is given by Cv, where C = a coefficient of drag in units of N/ (m/s) and v = the object's velocity.
Instructions:
b)use newton second law and sum the forces on the mass in the y direction. Because v= negative and air resistance opposes motion. you must be careful of signs. Replace acceleration in the equation.
d.)Seperate variables... put time on one side of the equation and velocity on the other.
e.)Integrate the equation. Time will range from 0 to t and velocity will range from 0 to v..
f.)Rearrange the resulting equation to obtain an equation for V as a function of time.
g.)In the equation from part (f) let t-> infinity. Hint, what does e^-x approach as x-> infinity? Show that V approaches a terminal velocity equal to mg/C
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