## rdrlr 3 years ago How to find the area under this curve?

1. rdrlr

A bicyclist pedals along a straight road with velocity, v, given in the figure below. She starts 3 miles from a lake; positive velocities take her away from the lake and negative velocities take her toward the lake. http://i.imgur.com/lhJQd.png Approximately how far away is she at this time? Give a best estimate.

2. rdrlr

The time is one hour...

3. wio

just count the number of squares

4. tkhunny

Please define "under". That first 20 is troublesome.

5. rdrlr

It includes both the negative and positive velocities, so not exactly under for both

6. rdrlr

0 is the x axis of course

7. wio

They basically want you to count squares here.

8. rdrlr

That seems too simple. What would be the units I would use?

9. wio

The count the number of square when it is above, and subtract from the the number of square when it is below.

10. wio

The square is 10mph time is 1 h So the result is 10 miles for each square

11. wio

Keep it simple, they asked for an approximation.

12. rdrlr

What should I do for the squares that aren't whole?

13. rdrlr

It seems a bit tricky go guess

14. wio

if you want to make it more complicated, then just roughly estimate how much of a square it is.

15. rdrlr

Okay, I will try my best to approximate it. Thank you