Proving Constant Horizontal Velocity for Particle w/ Drag Force

[Demonsthenes]

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.

 

[huyen_vyvy]

try differential equation. You have the force , therefore can find the acceleration with respect to the velocity. solve the dif eq and find the velocity.