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A cannonball is fired to the west at an angle of 60 degrees above the horizontal, with a velocity of 20 meters per second. What is the x-component of this velocity

Sagot :

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Answer: 10 m/s W

Explanation:

v = 20 m/s

θ = 60°

the x component will be the cos of this angle

Vx = cosθ20

Vx = cos(60°)20

Vx = 0.5(20)

Vx = 10 m/s W

The x-component of this velocity will be = 10 m/s west

What are x and y components of a vector ?

The x-component of a vector is the product of the  magnitude with the cosine of the angle made by the vector with horizontal  and the y-component is the product of its magnitude with the sine of the angle made by the vector with horizontal .

given

angle with horizontal (theta ) = 60 degrees

velocity = 20 m/s

x component = ?

V x ( velocity in x direction ) = V cos (theta)

                                              = 20 cos 60°

                                              = 10 m/s west

The x-component of this velocity will be = 10 m/s west

learn more about  x-component

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