Question

(problem reference m.1) four displacement vectors are shown in the figure. the magnitudes of the displacements are: a = 2.25 cm, b = 6.35 cm, c = 5.47 cm, and d = 4.19 cm. what is the y - component of vector a? 1.77 cm - 2.48 cm - 1.39 cm 2.25 cm 1.39 cm

Explanation:

Step1: Recall the formula for the y - component of a vector

The formula for the y - component of a vector \(\vec{V}\) with magnitude \(V\) and angle \(\theta\) (measured from the positive x - axis) is \(V_y = V\sin\theta\).
For vector \(\vec{A}\), \(A = 2.25\space cm\) and \(\theta=52.0^{\circ}\).

Step2: Calculate the y - component of vector \(\vec{A}\)

Substitute \(A = 2.25\space cm\) and \(\theta = 52.0^{\circ}\) into the formula \(A_y=A\sin\theta\).

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Answer:

1.77 cm