Velocity and Acceleration in terms of x (1 Viewer)

[Juliakate]

Textbook Question:
The velocity of a particle is given by v=1/x cms^-1 and the particle is 3 cm to the left of the origin after 3s. Find the equation of the particle's displacement with respect to time.

Answer given as: x= -(4t-3)^1/2

Just not sure how to get there...
Thanks

 

[davidgoes4wce]

Textbook Question:
The velocity of a particle is given by v=1/x cms^-1 and the particle is 3 cm to the left of the origin after 3s. Find the equation of the particle's displacement with respect to time.

Answer given as: x= -(4t-3)^1/2

Just not sure how to get there...
Thanks

Are you sure you typed the question up correctly? It's a Grove Question right? Should it be v=2/x?

 

[davidgoes4wce]

 

[Juliakate]

Oh sorry I did type it up wrong and it was meant to be 2/x. Thanks for the explanation