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Use the Right-Hand-Rule the determine direction of the following:, the i times j

ID: 1531792 • Letter: U

Question

Use the Right-Hand-Rule the determine direction of the following:, the i times j, i times k, j times i, k times i, (i times k) times k, (j times k) times A barge is traveling due east with respect to the river at a speed of 20 m/s. The river is flowing due south at 5 m/s with respect to the earth. Determine the speed and direction of the barge with respect to the earth. The skipper of the barge is walking 5 m/s @ 30 degree north of cast with respect to the barge. What is the skipper's speed and direction with respect to the earth? An insect is walking on the skippers cap at 1 m/s @ 60 degree north of west with respect to the skipper. What is the insect's speed and direction with respect to the earth?

Explanation / Answer


(a) river flow and barge movement is at right angles,

so speed of barge =squroot(20^2+5^2)

= 20.61 m/s

tan tita = 20/5

= 75.96 degree


respect to earth it is 90 - 76 = 14 degree


(b) skipper's speed = 20.61*cos30 + 5

= 22.85 m/s

angle = 30 + 14

= 44 degree

(c) skipper's speed = 20.61*cos60 + 1

= 11.31 m/s

angle = 60 +14

= 74 degree