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 <em>t</em> = 0 to <em>t</em> = 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 <em>t</em> = 0 to <em>t</em> = 5, our limits of integration are <em>t</em> = 0 and <em>t</em> = 5. Hence:
Since v(t) ≥ 0 for all <em>t </em>in the interval [1, 5], we can remove the absolute value. Use a calculator:
since d=3, you can plug it in into the equation
2f = 2(3)/6
2f = 6/6
2f=1
divide both sides by 2
f = 1/2
5-32
10-64
15-96
1 more to make 16. 5 divided into 32 equals 5.7
Total 101.7
It is reasonable!
Hope this helped!