Question

Exercises M-6 Name 6 8 10 12 14 16 Determine the slopes of lines A and B Draw in triangles and indicate where you are measuring ax and Ay. (Note that neither line as drawn passes through intersections of grid lines.) Try to read coordinates of points to the nearest tenth of a division by estimating the position of the points between grid lines. Slope of Line A = Slope of Line B-

Answer 1

o 2 AX 4 6 8 10 12 14 16

slope of line A = $\Delta$y / $\Delta$x = 6 - 0 / 5.9 - 1.5 = 1.36

slope of line B = $\Delta$y / $\Delta$x = 5.8 - 2 / 15 - 6 = 0.4222

Note that I just estimates the values using given scale. The method and concept remains the same

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A) It looks like a straight line from t = 2 and t = 4

so,

slope = average velocity = 3 - 0.9 / 2 = 1.05 m/s

B)

Displacements in centimeters 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Time in seconds

SO,

instantaneous velocity = 7 - 3 / 8- 3  

instantaneous velocity = 0.8 m/s