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Chapter 3: Q.28. (page 78)

While vacationing in the mountains you do some hiking. In the morning, your displacement is S鈫�morning=(2000m, east )+(3000m, north )+(200m, vertical \()\). After lunch, your displacement is S鈫�afternoon=(1500m, west )+(2000m, north )鈭�(300m, vertical).

a. At the end of the hike, how much higher or lower are you compared to your starting point?

b. What is the magnitude of your net displacement for the day?

Short Answer

Expert verified

a. The person is100mlower from the starting point.

b. The magnitude of the net displacement of the person is 5.0km.

Step by step solution

01

Part.a.

Use the concept of vector addition to find the net displacement of the person during the hike for the day.

The vertical component of the net displacement vector gives how much the person higher or lower from its starting point and the negative sign indicates that the person is lower from it starting point. Therefore, the person is 100mlower from the starting point.

02

Part.b.

The magnitude of the net displacement is given as follows:

S鈫�net=(500m)2+(5000m)2+(鈭�100m)2=5.0脳103m1km103m=5.0km

Therefore, the magnitude of the net displacement of the person is5.0km.

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