- #1
mr bob
- 38
- 0
Hey.
I've been doing more mechanics recently - further kinematics in M3. I've come across another question I'm confused by.
A particle moves on the positive x-axis. When its displacement from O is x meters, is acceleration is of magnitude x^-3 m/s^2 and directed towards O. Given that initially, when t=0, the particle is at rest with x=1, find the time the particle takes to reach x=1/4.
First i integrate with respect to x to find:
V^2 = x^-2 + C where C = -1
v^2 = x^-2 -1
V = x^-1 - 1
Now i integrate again to find velocity as (dx/dt):
dx/dt = x^-1 - 1
Which is a FODE, however i can't solve it.
Thank you,
Bob
I've been doing more mechanics recently - further kinematics in M3. I've come across another question I'm confused by.
A particle moves on the positive x-axis. When its displacement from O is x meters, is acceleration is of magnitude x^-3 m/s^2 and directed towards O. Given that initially, when t=0, the particle is at rest with x=1, find the time the particle takes to reach x=1/4.
First i integrate with respect to x to find:
V^2 = x^-2 + C where C = -1
v^2 = x^-2 -1
V = x^-1 - 1
Now i integrate again to find velocity as (dx/dt):
dx/dt = x^-1 - 1
Which is a FODE, however i can't solve it.
Thank you,
Bob