4:06 PM LONCAPA Homework site LONCAPA Cartesan Polar Part A A displacement vecto

Question

4:06 PM LONCAPA Homework site LONCAPA Cartesan Polar Part A A displacement vector is given as (x,y) (6.60 m, 4.80 m). What is the length of this vector? Submit Answer Tries 0/6 Part B What angle above the positive x axis does this vector make? Submit Answer Tries 0/6 Part C A vehicle is moving at 71.0 m/s at an angle of 114° counterclockwise from the postive x axis. What is the x component of this vector? Submit Answer Tries 0/6 Part D What is the y component of this vector? Submit Answer Tries 0/6 revious

Explanation / Answer

A.

(x, y) = (6.6, 4.8)

L = sqrt (x^2 + y^2)

L = sqrt (6.6^2 + 4.8^2) = 8.16 m

B.

Angle = arctan (y/x)

Angle = arctan (4.8/6.6) = 36.03 deg from +ve x-axis

C.

V = 71 m/sec

A = 114 deg CCW from +ve x-axis = 66 deg CW from -ve x-axis

Vx = -V*cos A

Vx = -71*cos 66 deg = -28.88 m/sec

D.

Vy = V*sin A

Vy = 71*sin 66 deg = 64.86 m/sec

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