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aaj92
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Homework Statement
Equation 2.33 gives the velocity of an object dropped from rest. At first, why v[itex]_{y}[/itex] is small, air resistance should be unimportant and 2.33 should agree with the elementary result V[itex]_{y}[/itex] = gt for free fall in a vacuum. Prove that this is the case. [HINT: remember the Taylor series].
Homework Equations
equation 2.33---> v[itex]_{y}[/itex](t) = v[itex]_{ter}[/itex](1-e[itex]^{-t/\tau}[/itex])
v[itex]_{ter}[/itex]=mg/b = g[itex]\tau[/itex]
The Attempt at a Solution
I substituted g\[itex]\tau[/itex] for v[itex]_{ter}[/itex] uhhhh and yeah... not sure what to do? I know it's probably really simple but I'm stuck