A bullet is fired at 50 m/s at an angle of 30 degrees with respect to horizontal. What is the y- component of f the velocity of the bullet?

1. 4.9 m/s
2. 9.8 m/s
3. 19.6 m/s
4. 29.4 m/s

Respuesta :

The y-component of the velocity of the bullet is 25.0 m/s.

Explanation:

The x- and y- components of the velocity of the bullet can be calculated by using the equations:

[tex]v_x = v cos \theta[/tex]

[tex]v_y = v sin \theta[/tex]

where

v is the magnitude of the velocity

[tex]\theta[/tex] is the angle between the direction of the velocity and the horizontal

For the bullet in this problem,

v = 50 m/s

[tex]\theta=30^{\circ}[/tex]

Substituting,

[tex]v_x = (50)(cos 30)=43.4 m/s[/tex]

[tex]v_y = (50)(sin 30)=25.0 m/s[/tex]

So, the y-component of the velocity of the bullet is 25.0 m/s.

Learn more about components of a vector:

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