- #1
John Lam
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Homework Statement
Assuming that the drag force magnitude is given by the equation D= bv, where b is the drag parameter and v is the instantaneous velocity magnitude of the object.
(a) Show that the vertical displacement through which a dropped object must fall from to reach X% of its terminal velocity is given by the equation:
Δy= (v^2ty/g)*[(X/100)-ln((100-x)/100))
where vty is the object's terminal velocity.
Homework Equations
v=(-mg/b)*(1-e^(-bt/m))
The Attempt at a Solution
I honestly ran around in circles with this problem trying to integrate the given equation desperately trying to figure out what this problem was asking for exactly. Then I integrated v=(-mg/b)*(1-e^(-bt/m)). No luck there attempting to recreate the given equation for about three hours now.