Mechanics dv/dx Question (1 Viewer)

[nofate]

Hello

I am wondering how to do the following question:

The velocity of a particle is given by v = 1 / 6e^3x ms-1 where x is the displacement of the particle. If the particle is initially at the origin, find the equation of the displacement of the particle in terms of t.

I'm sure the solution is extremely simple and I'm having a mental block, but how would I solve it? I was thinking of doing dx/dv * dv/dt but I have no idea how to get dv/dt.

Thanks

 

[iSplicer]

You've got v vs. x. You want x vs. t. Put the v as dx/dt and integrate =].

 

[nofate]

Definitely a major mental blank. Thanks for that

 

[iSplicer]

Definitely a major mental blank. Thanks for that

No probs! I found overthinking and silly mistakes to be my two major downfalls in maths during my HSC. Good luck!