Add the following sequence of vectors and find the magnitude and direction of ea

Question

Add the following sequence of vectors and find the magnitude and direction of each vector. For full credit be sure to incorporate the following:

a) Scale

b) Label all axis

c) Show magnitude and direction of resultant vector DISPLACEMENT:

1) If the following vectors show the routes taken by the national IGCG professional alpine hiking PE hours association, find their displacement as scheduled for the Memorial Day Hike: 300ft north, 400 ft east, 500 ft south Scale: 100 ft = 1 cm

2) One day Sarah Acosta went hiking and was chased by chickens when she fell down a hill where she landed next to the ferocious endangered South American 5 Legged Fanged Caterpillar known for its kitty cat like purr. Upon hearing the fatal hiss of the caterpillar, she began running in the following path. Please find how far she ran from the beastly bug. Sarah’s escape route: 4 ft east, 5 ft south, 1 ft east, 11 ft north Scale: 1 ft = 1 cm FORCES:

3) An freight liner feels the following forces placed on it. Graph out the force by adding them from head to tail just as you have done with displacement. Next find the magnitude and direction of the resultant force as we will call in chapter 5, net force. Forces: 5N 30º, 10N 180º, 5N 250º Scale: 1 N = 1 cm VELOCITY:

4) The Tigress River flow at a speed of 13 m/s east. If a boat crosses the river at 30 m/s directly north, find the total velocity (magnitude and direction) of the boat relative to the shore.

Scale: 1m/s = 1cm

Explanation / Answer

(1)

scale 100 ft = 1 cm

labeling axis

positive x-axis is East

positive y-axis is North

negative x-axis is West

negative y-axis is South

the resultant of 300ft north, 400 ft east, 500 ft south is 440 ft

the direction is 26.56o from east in anticlockwise direction

(2)

the resultant of 4 ft east, 5 ft south, 1 ft east, 11 ft north is 7.81 ft

the direction is 50.19o from east in clockwise direction

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