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Projectile Motion with air resistance -- need urgent help
Consider a projectile fired vertically in a constant gravitational field. For the same inital velocities, compare the times required for the projectile to reach its maximum height (a) for zero resisting force and (b) for a resisting force proportional to the instantaneous velocity of the projectile.
For a, I get t=-v0/a.
For b, I have the equation F= m dv/dt=kmv-mg, which leads me to
dv/dt=kv-g.
Is this correct...If so, I can take it from here.
If not what should it be?? What should my initial condition be to solve for the constant? Should it be v(t=0)=v0???
Thanks much!!!
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