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Graphing motion

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Position time graphs Show how the object changes its position over time. Slope indicates velocity (rise/run = change in position/change in time) Horizontal Line = Stopped! (no matter at which position) Up is + (moving away from zero point) Down is negative. (moving toward the zero point) Steeper lines are faster Peaks are a change in direction the "y" intercept equals the initial displacement. when two curves coincide, the two objects have the same displacement at that time.

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**Position time graphs Constant Velocity (straight line)**

Positive Velocity positive slope implies motion in the positive direction. Positive Velocity Changing Velocity (acceleration) (curved line) an object undergoing constant acceleration traces a portion of a parabola.

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**Leftward (-) Velocity Fast to Slow Negative (-) Velocity;**

negative slope implies motion in the negative direction Slow to Fast Accelerating in the opposite direction (curved down) Leftward (-) Velocity Fast to Slow

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**Velocity time graphs Slope indicates acceleration**

Straight line is constant acceleration Curved is changing acceleration. Horizontal line not at zero means a constant velocity Horizontal line at zero means a zero velocity (stopped) Positive is above the x-axis (watch direction) Negative is below the x-axis Crossing the x axis is a change in direction Area under the curve is the displacement (height = Δvelocity, base = Δtime, Δvelocity *Δtime = displacement) the "y" intercept equals the initial velocity. when two curves coincide, the two objects have the same velocity at that time.

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**Acceleration time graphs**

slope is meaningless. the "y" intercept equals the initial acceleration. when two curves coincide, the two objects have the same acceleration at that time. an object undergoing constant acceleration traces a horizontal line. zero slope implies motion with constant acceleration. the area under the curve equals the change in velocity.

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