Given four vectors: 100 @ 20 degree 50 @ 120 degree 200 @ 60 degree 100 @ 180 de

Question

Given four vectors: 100 @ 20 degree 50 @ 120 degree 200 @ 60 degree 100 @ 180 degree Solve for A - B + C - D using the component method. Give your answers in polar form. Your find map to a hidden treasure and follow the directions. You walk 5 miles 45 degree south of west. You stop for fifteen minutes and then walk 4 miles east. Finally, you turn and walk 3 miles 30 degree month of east. How far and in what direction would you need to travel to return to your starting point? a) What displacement is covered during the Interval of 0 to 6 seconds? b) What is the acceleration of the object at 9 seconds? c) Identify the time(s) when the object is speeding up. A student using a compass walks 300 paces due east. He then turns and walks 250 paces at an angle of 45 degree north of west. Finally, he turns and walks 100 paces due south(270 degree). Where does the student end up relative to his starting position(r, theta)? Which direction should the student walk to return home?

Explanation / Answer

1)

here,

A = 100 * ( cos(20) i + sin(20) j)

A = 93.96 i + 34.2 j

B = 50 * ( cos(120) i + sin(120) j)

B = - 25 i + 43.3 j

C = 200 * ( cos(60) i + sin(60) j)

C = 100 i + 173.2 j

D = 100 * ( cos(180) i + sin(180) j)

D = - 100 i

R = A - B + C - D

R = 93.96 i + 34.2 j - (- 25 i + 43.3 j) + 100 i + 173.2 j + 100 i

R = 318.96 i + 164.1 j

|R| = sqrt(318.96^2 + 164.1^2)

|R| = 358.7 units

theta = arctan(164.1/318.96) = 27.2 degree

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