Demonsthenes
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Prove this...
A particle of mass m is traveling along the x-axis with a constant horizontal velocity v0i. When the particle passes through the origin, it experiences a Drag Force which is proportional to the square of the particle's speed (Fd = - b/v^2i... drag coefficient b.
Questions
A) Show that the particle's speed is then given by v(x) = v0 e^-bx/m.
B) Show that the particle's acceleration is then given by a(x) = -(b/m)v0^2 e^-2bx/m.
A particle of mass m is traveling along the x-axis with a constant horizontal velocity v0i. When the particle passes through the origin, it experiences a Drag Force which is proportional to the square of the particle's speed (Fd = - b/v^2i... drag coefficient b.
Questions
A) Show that the particle's speed is then given by v(x) = v0 e^-bx/m.
B) Show that the particle's acceleration is then given by a(x) = -(b/m)v0^2 e^-2bx/m.