53.3 units, 141.8° relative to the + x axis 39.6 units, 144.6° relative to the x

Question

53.3 units, 141.8° relative to the +x axis

39.6 units, 144.6° relative to the x-axis

46.2 units, 136.0° relative to the +x axis

39.6 units, 54.6° relative to the +x axis

53.3 units, 52.1° relative to the +x axis

2.A bird flies 25.0 m in the direction 55° east of south to its nest on a cliff. The bird then flies 75.0 m in the direction 55° west of north to the top of a tree. What are the northward and westward components of the resultant displacement of the bird from its nest?
     northward     westward

  57 m     81 m

  81 m     57 m

  29 m       41 m

  41 m     29 m

  35 m     35 m

53.3 units, 141.8° relative to the +x axis

Explanation / Answer

1) Technical problem nothing is loading.

2) For bird

Step 1) Draw a parallelogram based on the two vectors that you already have. These vectors will be two sides of the parallelogram (not the opposite sides since they have the angle between them)

Step 2) We now have a parallelogram and know two angles (opposite angles of parallelograms are congruent). We can also figure out the other pair of angles since the other pair are congruent and all four angles must add up to 360.

Step 3 Draw the paprallelograms diagonal. This diagonal is the resultant vector

Resultant^2 = 25^2+75^2-2(25*75) cos 55

Resultant = 64.02 m

(a) Resultant^2 = 57^2+81^2

Resultant = 99m

Similar to a rest follows the same equation

b) Ans = -99m

c) Ans = 50.2m

d) Ans = -50.2m

e) Ans = 49.4 m.

Related Questions

Navigate

• Browse (All)
• Browse 5
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.