# synthesis vs analysis summry

## Summary

- Kinematics problems in two dimensions are essentially synthetic geometry problems. To solve them you should be able to…
- represent a kinematic event with a geometric diagram,
- use geometry to determine unknown magnitudes (lengths) and directions (angles), and
- use these results to determine kinematic quantities.

- Review the kinematic definitions presented earlier in this chapter.
- First the scalar quantities…
- Distance is a
*scalar* measure of the space between two positions measured along the *actual path* connecting them. - Speed is the rate of change of
*distance* with time.

- And then the vector quantities…
- Displacement is a
*vector* measure of the space between two positions measured along the *shortest path* connecting them. - Velocity is the rate of change of
*displacement* with time. - Acceleration is the rate of change of
*velocity* with time.

2018-04-15