# Prove this

1. Jul 12, 2007

### 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.

2. Jul 12, 2007

### 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.