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find the x - component of this vector: |v| = 134 m, θ = 51.6°, vₓ = ? m

Question

find the x - component of this vector: |v| = 134 m, θ = 51.6°, vₓ = ? m

Explanation:

Step1: Recall x-component formula

$V_x = |\vec{V}| \cos\theta$

Step2: Substitute given values

$V_x = 134 \times \cos(51.6^\circ)$

Step3: Calculate the result

$\cos(51.6^\circ) \approx 0.623$, so $V_x \approx 134 \times 0.623 = 83.5$

Answer:

83.5 m