Graphing motion.

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Presentation transcript:

Graphing motion

The velocity of an object can be found by determining the SLOPE on a position-time graph .

A changing velocity results in a curve on a position vs. time graph

Careful. This is not a position vs. time graph Careful! This is not a position vs. time graph! Acceleration can be determined from a velocity vs. time graph The acceleration is found by taking the slope of a velocity vs time graph.

Velocity vs time graph Is this a graph of “uniform” velocity? Is the velocity increasing or decreasing? What is the name for the rate that velocity changes?

The displacement is found by taking the area of a velocity vs time graph. The area of a triangle is ½ bh; the area of a rectangle is length X width The area under the x-axis must be subtracted from the areas above the x-axis.

Velocity-Time Graphs Velocity (m/s) 8 6 4 2 -2 -4 -6 -8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Time (s) What is the velocity? At 1 s? At 4 s? At 7 s? At 12 s? At 17 s? What is the acceleration? From 0 – 2s? From 2 – 6 s? From 9 – 11 s? From 11-14 s? From 14 – 22 s? The ACCELERATION is found by taking the SLOPE of the velocity vs. time graph

Velocity-Time Graphs Acceleration = slope Velocity (m/s) 8 6 4 2 -2 -4 -6 -8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Time (s) What is the velocity? At 1 s? 6m/s At 4 s? 3m/s At 7 s? 0 At 12 s? -8m/s At 17 s? -4m/s What is the acceleration? From 0 – 2s? 0 From 2 – 6 s? -1.5 m/s2 From 9 – 11 s? -4m/s2 From 11-14 s? 0 From 14 – 22 s? +1.4m/s2 Displacement from the starting point = the area of the shapes. Shapes below the x- axis will be negative displacement! What about the displacement? Acceleration = slope