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Day 8, 11-1-10 Topic: Relating X-t and V-t graphs Objective: I will correctly illustrate the comparison of the x-t and v-t graphs for acceleration. Science Starter: Identify each slope as positive, negative, or zero. Describe the velocity & acceleration of each section. V t C B A t C V B A

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Converting an X-t to a V-t Graph 1.Construct a X-t graph for the Distance v. Time data 10x10 graph Int x = 1 ; Int y = 10 2. Connect the points with a curved line (Why?). 3. Draw a motion diagram 4. Complete Column 3 & 4 to find the Velocities. 5. Construct a V-t graph 10 x 10 graph Int x = 1 ; Int y = 2 6. Connect the points with a line of best fit (why?) Time (s)Distance (m) Δ Distance Δ Time V(m/s) 13 ----- 314 14 – 3 m 3 – 1 s 5.5 m/s 531 754 981

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Reflection: 1.Discuss the shape of the line for the X-t and V-t graph. (Curved or straight) 2.Can we calculate the slope of a curved shaped line? What is Instantaneous velocity? 3.Compare this X-t graph (accelerated motion) with the X-t graph for uniform motion. Why are they different?

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Describing Motion with Position vs. Time Graphs The specific features of the motion of objects are demonstrated by the shape and the slope of the lines.

Describing Motion with Position vs. Time Graphs The specific features of the motion of objects are demonstrated by the shape and the slope of the lines.

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