Question

what was the hikers average velocity during part c of the hike?
10 km/h southwest
0.10 km/h north
4.0 km/h south
6 km/h west
hiking table
distance part of hike start time ending time
6 km east a 8:00 a.m. 9:00 a.m.
4 km south b 9:00 a.m. 9:45 a.m.
6 km west c 9:45 a.m. 10:45 a.m.
8 km north d 10:45 a.m. 12:30 p.m.

Explanation:

Step1: Calculate time taken

The start time is 9:45 a.m. and the ending time is 10:45 a.m.
Time \(t=10:45 - 9:45=1\) hour.

Step2: Use velocity formula

Velocity \(v = \frac{\text{displacement}}{\text{time}}\). Displacement is \(6\) km west.
\(v=\frac{6\ \text{km}}{1\ \text{h}} = 6\) km/h west.

Answer:

6 km/h west (the fourth option)