HELP! velocity in terms of x...???????? (1 Viewer)

[xoxo]

im really confused here....

The velocity of a particle is given by
dx
__ =e ^ -2x ms^-1
dt

if the particle is initially at the origin find the

a) exact time when its displacement will be 1.5
b) its displacement after 5sec...

i could probably do b) but i dont know where to start for a).....

any help??
i have my exam tomoz and am really stressing!

 

[SoulSearcher]

If you have dx/dt = some function in terms of displacement, x, etc., then I believe you would flip both sides of the equation, i.e. get dt/dx = 1/some function of x, then integrate with respect to x. So in this question,
dx/dt = e^-2x ms^-1
dt/dx = 1/e^-2x
= e^2x
Therefore t = Int. [e^2x] dx, then integrate with respect to x.

 

[webby234]

Yeah and don't forget the constant of integration.

Sub in t = 0, x = 0 to find its value.

 

[SoulSearcher]

Yeah and don't forget the constant of integration.

Sub in t = 0, x = 0 to find its value.

Hey webby :wave:

Nice major work, I was reading through it during the residential :uhhuh: What did you get for it?

 

[webby234]

Haha thanks, I don't actually know - we never got our marks back for it, but I got HD for the course overall. What are you planning to do?

How was the residential?

 

[SoulSearcher]

Haha thanks, I don't actually know - we never got our marks back for it, but I got HD for the course overall. What are you planning to do?

How was the residential?

Nice :uhhuh: Well, dark matter, most likely, since it's the only thing I've got a solid interest in, although all this quantum stuff keeps appearing in the back of my mind every so often

It was good, real good, lot more sociable since we all already knew each other so it was a blast

 

[xoxo]

thanks so much guys!