Question

Given velocity vector v = 101√3icap-10j cap m/s. The angle the velocity vector makes with y-axis is 60° O 30° 0 90° o 45°​

Answer 1

Answer:

z

Explanation:

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Answer 2

Concept:

• Vectors
• Splitting a vector into its components
• Calculating the direction of vectors

Given:

• velocity vector v = 10√3i - 10j
• The vertical component is - 10
• The horizontal component is 10√3

Find:

• The angle the velocity vector makes with the y axis

Solution:

We know that the angle the velocity vector makes with the x-axis is tanθ = y/x

y-component is - 10

x-component is 10√3

y/x = -10/10√3= -1/√3

tan θ =  -1/√3

θ = -30°

The velocity vector is 30° clockwise to the positive x-axis.

The angle the velocity vector makes with the negative y-axis is 90° -30° = 60°

60° is the angle made by the velocity vector with the y-axis.

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