Caedin runs fastest (he has the highest speed)
Step-by-step explanation:
The question in this problem is "who runs fastest": this means that the problem is asking us "which runner has the greatest speed?"
The speed of a body is a scalar quantity defined as
[tex]v=\frac{d}{t}[/tex]
where
d is the distance covered by the body
t is the time elapsed
In order to calculate the distance covered by each runner, we have to sum the length of all the pieces of motion, regardless of their direction.
From the graph, we observe that:
- Andy moves from x = 0 to x = 1.25 miles, so the distance covered is d = 1.25 miles. Since the time taken is 10 minutes, his speed is
[tex]v=\frac{1.25}{10}=0.125 mi/min[/tex]
- Berta moves from x = 0.5 miles to x = 1.15 miles, so the distance covered is
d = 1.15 - 0.5 = 0.65 miles
The time taken is 10 minutes, so her speed is
[tex]v=\frac{0.65}{10}=0.065 mi/min[/tex]
- Finally, Caeding moves first from x = 1.5 miles to x = 0, so he covers a distance of
[tex]d_1 = 1.5 mi[/tex]
Then he also moves from x = 0 to x = 1.0 miles, so he covers an additional distance of
[tex]d_2=1.0 mi[/tex]
So the total distance is
[tex]d=d_1+d_2=1.5+1.0=2.5 mi[/tex]
And since the time taken is 10 minutes, the speed is
[tex]v=\frac{2.5}{10}=0.25 mi/min[/tex]
Therefore, Caedin has the highest speed.
Learn more about speed:
brainly.com/question/8893949
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