Ldaniel 3 years ago A bicyclist pedals along a straight road with velocity, v, given in the figure below. She starts 7 miles from a lake; positive velocities take her away from the lake and negative velocities take her toward the lake. http://www.webassign.net/hgmcalc/5-3-26fig.gif When is the cyclist farthest from the lake? t = 1 hours (i got this part) Approximately how far away is she at this time? Give a best estimate. (Round your answer to the nearest whole number.) miles

1. NoelGreco

When she starts off, she's going toward the lake (v<0). Her actual displacement from the starting point is the area between the graph and the x-axis with areas below the axis negative (closer to the lake). Each division on the x-axis is 1/6 hr. You have to estimate the area in each interval.

2. Ldaniel

yeah I know that my estimate was 77 miles and i was wrong. what would your estimate be?

3. NoelGreco

I get 18. 77 is not reasonable because even if she pedaled at 30 mph for a whole hour she'd only go 30 miles. Each grid square represents 10/6 miles.