# 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.

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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

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

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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