mpleted mpleted pleted pleted Class Management Vectors Begin Date: l/12/2017 12:

Question

mpleted mpleted pleted pleted Class Management Vectors Begin Date: l/12/2017 12:00:00 AM Due Date: 1/16/2017 11.00:00 PM End Date: 9/2017 12:00:00 AM (20%) Problem 3: Suppose you first walk 135 min a direction 20 west of north and m shown in the figure. then 235 m in a direction 40° south of west as 40° 20° Otheexpertta.com P 4 25% Part (a) What is the component of your displacement in the x-direction, in meters? Grade Summary Potential 100% sino coso tano CI 7 8 9 tano asino acoso 4 5 6 at ano acotano sinho 1 2 3 Attempts remaining: 1 C per attempt) cosho tanho cotanh0 ODegrees Radians I give up! Hints: 09 deduction per hint. Hints remaining: L Feedback: 09 deduction per feedback. A 25% Part (b) what is the component of your displacement in the y-direction, in meters? A 25% Part (c) How far are you from your starting point in meters? 25% Part (d) what is the angle of a line connecting your starting position to your final position, measured South of West, in degrees?

Explanation / Answer

part a )

for the x componenent of the displacement

x componenent of the displacement = - 13.5 * sin(20) - 23.5 * cos(40)

x componenent of the displacement = -22.6 m

part b) for the y component of displacement

y component of displacement = 13.5 * cos(20) - 23.5 * sin(40)

y component of displacement = -2.42 m

part c)

distance from the starting point = sqrt(x^2 + y^2)

distance from the starting point = sqrt(22.6^2 + 2.42^2)

distance from the starting point = 22.73 m

part d)

angle = arctan(2.42/22.6)

angle = 6.12 degree

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