- #1
sadakaa
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Homework Statement
A .25kg ball is dropped from rest. Air resistance is f= -.05v
a. find v(t)
b. What is the terminal velocity of the ball?
c. At what time does the ball reach 50% of its terminal velocity? 90%?
Homework Equations
F=ma
F= mg - .05v
The Attempt at a Solution
Began to solve the equation knowing that I have to separate the terms, moves all the velocity terms to one side, then integrate.
ma = mg - .05v
a = mg/m - .05v/m
a = g - .2v
dv/dt = g - .2v
dt = dv/(g-.2v)
now I am just wondering to integrate that terms on the right. U-substitution for the denominator?