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reviews the approach taken in problems such as this one. A bird watcher meanders

ID: 2123687 • Letter: R

Question

reviews the approach taken in problems such as this one. A bird watcher meanders through the woods, walking 1.34 km due east, 1.88 km due south, and 4.63 km in a direction 54.6 ? north of west. The time required for this trip is 2.003 h. Determine the magnitudes of the bird watcher's (a) displacement and (b) average velocity.

reviews the approach taken in problems such as this one. A bird watcher meanders through the woods, walking 1.34 km due east, 1.88 km due south, and 4.63 km in a direction 54.6 ? north of west. The time required for this trip is 2.003 h. Determine the magnitudes of the bird watcher's (a) displacement and (b) average velocity.

Explanation / Answer

The 3 separate displacements in vector notation:

A=(1.34, 0)

B=(0, -1.88)

c=(-4.63 cos 56.3, 4.63 sin 56.3)

Resultant displacement = A+B+C = (-1.2289, 1.9719)

(a)magnitude= sqrt((-1.2289^2)+(1.9719^2))=1.5421 km

(b) average velocity = total displacement/ total time = 1.5421 km / 2.003 hr= 0.2138 km /hr