given velocity vector V=10√3÷10j m/s the angle the velocity vector makes with y axis
Answers
Explanation:
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Angle made by Velocity vector with Y-axis is 60 degrees.
GIVEN: Velocity Vector V=10√3÷10j m/s
TO FIND: Angle made by Velocity vector with Y-axis.
SOLUTION:
As we are given in the question,
Firstly, A graph will be made by marking 10√3 on the x-axis and 10 on the y-axis.
Now we know,
xcosθ = 10
cosθ = 10/x
Now using the trigonometric rules,
xsinθ = 10√3
x * √x²-100/x = 10√3
x² - 100 = (10√3)²
x² - 100 = 300
x² = 400
x = 20
Now,
As written above,
cosθ = 10/x
cosθ = 10/20
cosθ = 1/2
cosθ = cos 60
θ = 60
Therefore,
The angle made by Velocity Vector with the y-axis is 60 degrees.
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