Motion in a straight line – definitions and graphs

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Position is a vector: the distance and direction from the origin O.
Displacement is a vector: the change of position.
Distance is a scalar: the magnitude of displacement.
Velocity is a vector: the rate of change of displacement.
Speed is a scalar: the magnitude of velocity.

Average velocity=resultant displacement/total time

Average speed=total distance/total time

The gradient of a displacement-time graph is the velocity.

Acceleration is the rate of change of velocity.
The gradient of a velocity-time graph is the acceleration.

Acceleration=change in velocity/time=(v-u)/t

The area between the \math-container{v-t} graph and the \math-container{t}-axis is the displacement

Motion in a straight line – definitions and graphs

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