- #1
TPHughes
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Hello, I've been staring at this question for an hour with no luck.. if anyone could point me in the right direction that would greatly appreciated!
a = acceleration
v = velocity
x = displacement
m and n are constants
vt = terminal velocity
Show that after traveling x, car will have velocity v.
a = m - nv2 <- given equation
and vt = sqrt(m/n)
x = -0.5ln(1 - (v/vt)2) <- equation need to find
I have attempted to substitute in a = d/dx(0.5v2) and then integrate with respect to x but had no luck.
Am stuck with where to go next! Any help would be greatly appreciated!
Homework Statement
a = acceleration
v = velocity
x = displacement
m and n are constants
vt = terminal velocity
Show that after traveling x, car will have velocity v.
Homework Equations
a = m - nv2 <- given equation
and vt = sqrt(m/n)
x = -0.5ln(1 - (v/vt)2) <- equation need to find
The Attempt at a Solution
I have attempted to substitute in a = d/dx(0.5v2) and then integrate with respect to x but had no luck.
Am stuck with where to go next! Any help would be greatly appreciated!
