Copyright © Michael Richmond.
This work is licensed under a Creative Commons License.

##
Equations of 1-D Kinematics

- Describing motion in one dimension is very easy if a
body has constant velocity.
(x - xo) = v * (t - to)

- It's still not too bad if a body has constant acceleration.
One can derive a set of four equations which connect time and
the body's position, velocity, and acceleration.
(v - vo) = a * (t - to)
(x - xo) = (avg v) * (t - to)
1 2
(x - xo) = vo * (t - to) + --- * a * (t - to)
2
2 2
2 * a * (x - xo) = v - vo

- The key to solving problems in kinematics is
**to understand what's going on.**
Only if you comprehend the situation will you be able
to pick the equation(s) which take the information
given and yield the desired result.
- Sometimes, the four kinematic equations for constant
acceleration are written under the assumption that
**to = 0** and **xo = 0**; they then take the
form
v = a * t
x = (avg v) * t
1 2
x = vo * t + --- * a * t
2
2 2
2 * a * x = v - vo

Viewgraphs

Copyright © Michael Richmond.
This work is licensed under a Creative Commons License.