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Kinematics in Two and Three Dimensions
Summary
- Kinematics problems in two and three dimensions are essentially 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
- identify the magnitudes and directions needed to determine quantities
like distance, displacement, speed, velocity, and acceleration from their
definitions.
- Review the kinematic definitions presented earlier in this chapter.
- First the scalar quantities …
- Distance is a scalar measure
of the interval between two locations 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 interval between two locations 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.