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Homework Statement
If a ping pong ball is released from rest, how long does it take for the ping pong ball to reach 90% of its terminal velocity?
m=2.2g, density(air)=a.29kg/m^3, Cw=.5, diameter=.38mm
Homework Equations
Fd=1/2*C[tex]_{w}[/tex]+[tex]\rho[/tex]*A*v^2
newton's second law
The Attempt at a Solution
I set up newtons second law for the going down case. I wanted to get v in terms of t.
I can't solve the integral though.
Fd-mg=m*dv/dt
[tex]\int \frac{dt}{m}[/tex]=[tex]\int \frac{2*dv}{C_{w}*\rho*A*v^2-mg}[/tex]
Please help.