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Terminal Velocity as a Limiting Value
For:
$$v=\frac{mg}{k}\left(1-e^{-kt/m}\right)$$
as:
$$t\to\infty$$
we obtain:
$$v\to\frac{mg}{k}$$
Usage
- Shows mathematically why the velocity approaches terminal velocity.
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Terminal Velocity as a Limiting Value
For:
$$v=\frac{mg}{k}\left(1-e^{-kt/m}\right)$$
as:
$$t\to\infty$$
we obtain:
$$v\to\frac{mg}{k}$$
Usage
- Shows mathematically why the velocity approaches terminal velocity.
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