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?Racing cars driven by Chris and Kelly are side by side at the start of a race. The
Chapter 5, Problem 55(choose chapter or problem)
Racing cars driven by Chris and Kelly are side by side at the start of a race. The table shows the velocities of each car (in miles per hour) during the first ten seconds of the race. Use the Midpoint Rule to estimate how much farther Kelly travels than Chris does during the first ten seconds.
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QUESTION:
Racing cars driven by Chris and Kelly are side by side at the start of a race. The table shows the velocities of each car (in miles per hour) during the first ten seconds of the race. Use the Midpoint Rule to estimate how much farther Kelly travels than Chris does during the first ten seconds.
Step 1 of 5
Total distance would be the integral from t = 0 to t = 10 of the velocity.
Going by what they give us in the table, we can use n = 5 intervals, and with a = 0, b = 10, the subinterval (rectangle) width would be
\(\Delta x=\frac{b-a}{n}=\frac{10-0}{5}=2 \mathrm{sec}\)
The midpoints would then be the velocity numbers given at t = 1, 3, 5, 7, 9
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