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Given is a graph representing the position of a ball as it rolls across a table. What is the ball's average velocity? A) 80 cm/sec B) 20 cm/sec C) 200 cm/sec D) 400 cm/sec

Given is a graph representing the position of a ball as it rolls across a table What is the balls average velocity A 80 cmsec B 20 cmsec C 200 cmsec D 400 cmse class=

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Answer: Option C, s = 200 cm/s

Explanation:

The average velocity can be obtained by the slope of the linear function that we have in the graph, this is:

s = (y2 - y1)/(x2 - x1)

where y2 = f(x2) and y1 = f(x1)

for this we need two pairs of data, let's use the first two:

y1 = 20cm, x1 = 0.1 sec

y2 = 40cm, x2 = 0.2 sec.

then the slope is:

s = (40cm - 20cm)/(0.2s - 0.1s) = 20cm/0.1s = 200cm/s

then the correct option is C

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