# Thread: Variety of Calculus questions

1. ## Calc Mid point

2. The velocity graph of a car accelerating from rest to a speed of 60 km/h over a period of 30 seconds is shown. Estimate the distance traveled during this period. (Use M6 to get the most precise estimate. Round your answer to two decimal places.)

My work: Deltax = 30-0/6 =5

M6=5(15+33+45+52+57+58) = 1300 which is wrong according to the site

I placed the midpoints in the middle @ 2.5, in the middle of 5 and 10, in the middle of 10 and 15, in the middle of 15 and 20 and in the middle of 20 and 25. The last part of the graph gives a very small portion of the graph that my TA says should be counted so I gave it a value of 58.

Im honestly at a dead end here. Appreciate any help!

Sorry for all of this but I appreciate anyone who can help me. thanks!!

2. ## Re: Variety of Calculus questions

Hey Steelers72.

What kind of numerical technique are you using? Is this the mid-point method? Trapezium method? Simpsons Rule?

3. ## Re: Variety of Calculus questions

He is using the midpoint method.

You need to convert units. Your numerical calculations are correct - it is 1300, but the units are (km/h)(sec), so you need to divide by 3600 to get the correct answer in km.

- Hollywood

4. ## Re: Variety of Calculus questions

hey chiro, I'm honestly not sure. I am just using the method my professor showed us. I wish I knew the name.

What we were taught to do is place the midpoint in the middle of the delta x. for example if the delta x or width was 6, place the midpoint on 3 on the curve
basically halfway in-between the midpoint.

5. ## Re: Variety of Calculus questions

WOW. I would have never found that out! Pesky dimensional analysis... THANKS!!!