Posted by Subhotosh Khan on September 03, 2002 at 13:18:04:
In Reply to: DE word problem posted by colin on September 03, 2002 at 11:26:42:
: A body with mass m is projected vertically downward with initial velocity v0 in a medium offering resistance proportional to the square root of the magnitude of the velocity. Find the relation between the velocity v and the time t.
: Do I solve for v or t here? How can I tell?
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You need to find a function V(t) - Velocity as a function of time, from the following physical equation:
Acceleration = dv/dt = g - k*sqrt(v)
Where:
g = acceleration due to gravity
k = proportionality constant