A cyclist rides down a long straight road with avelocity (in m/min) given by v(t) = 400 - 20t, for 0 ≤ t ≤ 10,where t is measured in minutes.a. How far does the cyclist travel in the first 5 min?b. How far does the cyclist travel in the first 10 min?c. How far has the cyclist traveled when her velocity is250 m/min?

Trigonometry (MindTap Course List)
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Chapter6: Topics In Analytic Geometry
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A cyclist rides down a long straight road with a
velocity (in m/min) given by v(t) = 400 - 20t, for 0 ≤ t ≤ 10,
where t is measured in minutes.
a. How far does the cyclist travel in the first 5 min?
b. How far does the cyclist travel in the first 10 min?
c. How far has the cyclist traveled when her velocity is
250 m/min?

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