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## The velocity of a car over five hours is given by v(t) = 60 ln(t + 1), 0 < t < 5 in kilometers per hour. What is the total dista

Question

The velocity of a car over five hours is given by v(t) = 60 ln(t + 1), 0 < t < 5

in kilometers per hour. What is the total distance traveled from t = 0 to t = 5?

Round your answer to the nearest whole number and do not include units.

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Mathematics
3 years
2021-07-28T14:13:17+00:00
2021-07-28T14:13:17+00:00 1 Answers
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## Answers ( )

Answer:345

Step-by-step explanation:The velocity of a car over five hours is given by:

And we want to find the total distance traveled from

t= 0 tot= 5.Recall that distance is the integral of the absolute value of the velocity function. Since we want to find the total distance traveled from

t= 0 tot= 5, our limits of integration aret= 0 andt= 5. Hence:Since v(t) ≥ 0 for all

tin the interval [1, 5], we can remove the absolute value. Use a calculator: