Not necessarily slowing down!ġ5 Velocity-Time Graphs A horizontal line on the V-T graph means constant velocity so no acceleration. Acceleration = change in velocity over time. A straight sloped line = constant acceleration. Time X-axis is the “time” Y-axis is the “velocity”ġ4 Velocity-Time Graphs A velocity-time (V-T) graph shows an object’s velocity as a function of time. Can you describe its movement based on the graph? time (s) position (m) N Sġ3 5.2 Velocity vs. slope = change in y change in x time (s) position (m) 10 20 30 40 50 slope = (30 m – 10 m) (30 s – 0 s) slope = (20 m) (30 s) slope = 0.67 m/sġ2 Position-Time Graphs The following P-T graph corresponds to an object moving back and forth along a straight path. (m) Increasing velocity in negative direction.ġ1 Position-Time Graphs The slope of a P-T graph is equal to the object’s velocity in that segment. (m) Increasing velocity in positive direction. (m) A horizontal segment means the object is at rest.ġ0 Position-Time Graphs Curved segments on the P-T graph mean the object’s velocity is changing. (m) Constant velocity in negative direction.ĩ Position-Time Graphs An object not moving is represented by a straight segment on the P-T graph. (m) Constant velocity in positive direction. Zero speed (at rest) Constant velocity AcceleratingĨ Position-Time Graphs Constant velocity is represented by a straight segment on the P-T graph. Straight line, upward slope What kind of motion created this graph? Constant velocity 1 2 3 4 5 6 7 8 9 10 time (s) position (cm)ħ Position-Time Graphs Each type of motion has a characteristic shape on a P-T graph. 0 s 1 s 2 s 3 s 4 s 5 s 6 s 7 s 8 s 9 s 10 sĥ Position-Time Graphs 1 2 3 4 5 6 7 8 9 10 position (cm) time (s)Ħ Position-Time Graphs What are the characteristics of this graph? You can plot the ball’s position as a function of time. Imagine a ball rolling along a table, illuminated by a strobe light every second. X-axis: time y-axis: position Slope = average velocityĤ Position-Time Graphs 0 s 1 s 2 s 3 s 4 s 5 s 6 s 7 s 8 s 9 s 10 s What is a position-time graph? What is a velocity-time graph? How do features on one graph translate into features on the other?ģ Position-Time Graphs Show an object’s position as a function of time.
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