Question

on a hike you walk 5,000 m east, 3,000 m north, and 1,000 m west at a constant speed of 1 m/s. calculate your velocity for the entire hike along the east/west axis and the north/south axis. (1 point) 1 m/s 1 m/s east + 1 m/s north 0.4 m/s east + 0.3 m/s north 0.6 m/s

Explanation:

Step1: Calculate total displacement in East/West axis

Displacement in East/West axis: \(d_{EW}=5000 - 1000=4000\) m (East is positive and West is negative)

Step2: Calculate total displacement in North/South axis

Displacement in North/South axis: \(d_{NS} = 3000\) m (North is positive)

Step3: Calculate total time taken

Total distance \(D=5000 + 3000+1000=9000\) m. Since speed \(v = 1\) m/s, time \(t=\frac{D}{v}=\frac{9000}{1}=9000\) s

Step4: Calculate velocity components

Velocity in East/West axis \(v_{EW}=\frac{d_{EW}}{t}=\frac{4000}{9000}\approx0.4\) m/s (East)
Velocity in North/South axis \(v_{NS}=\frac{d_{NS}}{t}=\frac{3000}{9000}= 0.3\) m/s (North)

Answer:

0.4 m/s East + 0.3 m/s North