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A mass m is accelerated by a time-varying force e-Btv³, where v is its velocity. It also experiences a resistive force nv, where n is a constant, owing to its motion through the air. The equation of motion of the mass is therefore dv m- = dt -βίν- ην.

A mass m is accelerated by a time-varying force e-Btv³, where v is its velocity. It also experiences a resistive force nv, where n is a constant, owing to its motion through the air. The equation of motion of the mass is therefore dv m- = dt -βίν- ην.

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m3 + 76 Solve this to show that -1 2 1 2 -Bt e = mß + n mß + n. where vo is the initial velocity.
Transcribed Image Text:m3 + 76 Solve this to show that -1 2 1 2 -Bt e = mß + n mß + n. where vo is the initial velocity.
A mass m is accelerated by a time-varying force e-Btv³, where v is its velocity. It also experiences a resistive force nv, where n is a constant, owing to its motion through the air. The equation of motion of the mass is therefore dv m, = e dt
Transcribed Image Text:A mass m is accelerated by a time-varying force e-Btv³, where v is its velocity. It also experiences a resistive force nv, where n is a constant, owing to its motion through the air. The equation of motion of the mass is therefore dv m, = e dt
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