Reviews the approach taken in problems such as this one. a bird watcher meanders through the woods, walking 0.916 km due east, 0.918 km due south, and 3.52 km in a direction 49.7 ° north of west. the time required for this trip is 1.750 h. determine the magnitudes of the bird watcher's (a) displacement and (b) average velocity.

Displacement: 2.230 km    Average velocity: 1.274

Explanation:

Let's represent displacement by the letter S and the displacement in direction 49.7° as A. Displaement is a vector, so we need to decompose all the bird's displacement into their X-Y compoments. Let's go one by one:

First of all. We need to sum all the X components and all the Y componets.

∑ ⇒  ∑

∑

∑ ⇒ ∑

∑

The total displacement is calculated using Pythagoeran therorem:

⇒

With displacement calculated, we can find the average speed as follows:

 ⇒  

305.7

explanation:

density =m/v

density =917/3.00

density = 305.

approximately = 305.7

in four significant figures