The Pacific Crest Trail runs from the Mexican border to the Canadian border through California, Oregon, and Washington,covering 2650 miles of trail, but only about 1000 straight-line miles.

B).If you hike this trail in 14.0 weeks, from Mexico to Canada,find your average velocity. (m/h)

C). What is your average hiking speed if you hike only 9.00 hours per day? (m/h)

B. 1000 miles/(14*7*24 h)= 0.425 mi/h

C. 2650 mi/(7*14*9 h) = 3.01 mi/h

To find the average velocity for hiking the Pacific Crest Trail in 14 weeks, you first need to convert the total distance from miles to meters. Since 1 mile is approximately equal to 1609.34 meters, the total distance of 2650 miles can be calculated as: 2650 miles * 1609.34 meters/mile = 4,264,309 meters.

Next, you need to convert the total time from weeks to hours. Since there are 7 days in a week, you can multiply 14 weeks by 7 days/week to get: 14 weeks * 7 days/week = 98 days. Finally, you multiply the total number of days by 24 hours/day to convert weeks to hours: 98 days * 24 hours/day = 2,352 hours.

A). Average velocity = Total distance / Total time = 4,264,309 meters / 2,352 hours ≈ 1,811.78 m/h.

To calculate the average hiking speed if you hike only 9 hours per day, you need to divide the total distance of 4,264,309 meters by the total time of 9 hours/day. However, since you will be hiking for only 9 hours per day, you need to adjust the total time accordingly.

Since there are 24 hours in a day, you subtract 9 hours of hiking per day from the total 24 hours/day to find the remaining time for rest, eating, and sleeping: 24 hours/day - 9 hours/day = 15 hours/day.

Since you will be hiking for 9 hours per day, you need to divide the total distance by the adjusted total time: 4,264,309 meters / 9 hours = 473,811 meters/hour.

B). Average hiking speed = 473,811 meters/hour or approximately 473,811 m/h.