# kinematics problem

• December 17th 2009, 02:49 AM
lethalchamber
kinematics problem
A particle is travelling along a straight line such that its acceleration is m/s/s is equal to its displacement in meters from an origin. A possible expression for the particle's velocity, given that displacement is always positive, is?
• December 17th 2009, 04:29 AM
HallsofIvy
Quote:

Originally Posted by lethalchamber
A particle is travelling along a straight line such that its acceleration is m/s/s is equal to its displacement in meters from an origin.

So $\frac{dx}{dt}= x$ and then $\frac{dx}{x}= dt$.
Integrate.

Quote:

A possible expression for the particle's velocity, given that displacement is always positive, is?