Question

calculating average velocity
ben walks 500 meters from his house to the corner store. he then walks back toward his house, but continues 200
meters past his house to talk to a neighbor. it takes ben 17 minutes from the time he leaves his house until he stops
to talk to his neighbor.
what is bens average velocity? round to the nearest tenth.
0.2 m/s
0.5 m/s
0.7 m/s
1.2 m/s

Explanation:

Step1: Calculate displacement

Displacement is the final position minus the initial position. Ben ends up 200 meters past his house. So displacement \(d = 200\) meters.

Step2: Convert time to seconds

Time \(t=17\) minutes. Since \(1\) minute \( = 60\) seconds, \(t = 17\times60=1020\) seconds.

Step3: Calculate average velocity

The formula for average velocity \(v=\frac{d}{t}\). Substitute \(d = 200\) meters and \(t = 1020\) seconds. \(v=\frac{200}{1020}\approx0.2\) m/s.

Answer:

0.2 m/s