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Interpreting Motion: Graphing Speed in Physics

Learn how to graph motion and use slope to interpret the relationship between distance and time variables. Discover how slope indicates speed: steeper slope means faster speed, gentler slope means slower speed. Understand motion scenarios and their interpretations over time.

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Interpreting Motion: Graphing Speed in Physics

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  1. Unit 1 Physics Graphing Speed

  2. d vs. t graphs • Graph the motion • use the slope to interpret the relationship between the variables (d & t) ΔY rise d = = = = Slope Speed run ΔX t *steeper the slope  faster the speed *more gentle the slope  slower the speed

  3. When interpreting the motion answer: • As time goes by, distance (d  or ) • The line shows relationship (constant or changing) d d d d t t t t • Moving forward (d) • No motion (d stays same) • Moving backward (d) • Moving forward (d) • Constant speed (straight) • Constant speed (straight) • Constant speed (straight) • Changing speed (curved) • 0 m/s • positive acceleration

  4. d d d t t t • Moving forward (d) • Moving backward (d) • Moving backward (d) • changing speed (curved) • changing speed (curved) • changing speed (curved) • (-) acceleration • (-) acceleration • (+) acceleration

  5. AB • Move forward • Constant speed • ΔY 10m 1m/s = = 10s ΔX BC • At rest • Constant speed • 0m/s

  6. CD • Moving backward • Constant speed • ΔY 5m 1m/s = = ΔX 5s DE • Moving forward • Changing speed • (+) acceleration

  7. EF • Moving backward • Constant speed • ΔY 25m 5m/s = = ΔX 5s FG • Moving forward • Constant speed • ΔY 10m 2m/s = = ΔX 5s GH • Moving forward • Constant speed 12.5m • ΔY = 1m/s = ΔX 12.5s

  8. Which line had the fastest speed? • EF • Steepest slope Distance increases? • Moving forward Distance decreases? • Moving backward Straight line? • Constant speed Curved line? • Changing speed d vs. t graph shows? • Speed and direction

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