Three displacement vectors of a croquet ball are shown in the figure, where |vec

Question

Three displacement vectors of a croquet ball are shown in the figure, where |vector A| = 18.0 units, |vector B| = 30.0 units, and |vector C| = 20.0 units.
(a) Find the resultant in unit-vector notation. R with arrow =
(b) Find the magnitude and direction of the resultant displacement. units ° (from the +x axis) 20. -13 points SerPSE8 3.P036.soln. My Notes Ask Your Teacher Three displacement vectors of a croquet ball are shown in the figure, where = 18.0 units, IBI = 30.0 units, and = 20.0 units. 45.0 45,0 (a) Find the resultant in unit-vector notation. R= (b) Find the magnitude and direction of the resultant displacement. units (from the +x axis)

Explanation / Answer

Given,

A = 18 j units

B = 30 cos45 i + 30 sin45 j = 21.21 i + 21.21 j

C = 20 cos45 i + 20 cos 45 j = 14.14 i - 14.14 j

A)

Resultant, R = 35.35 i + 25.07 j

B)

R = sqrt (35.35^2 + 25.07^2) = 43.34 units

Direction, theta = arctan (25.07/35.35) = 35.34 degree wrt x axis.

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