Kinematic Question: Horizontal & Vertical Velocity Components

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In summary, the difference between horizontal and vertical velocity components is that the former refers to an object's speed in the horizontal direction while the latter refers to its speed in the vertical direction. These components are perpendicular to each other. To calculate these components, the horizontal velocity can be found using the formula v_x = v cosθ and the vertical velocity using v_y = v sinθ. Separating these components is important for a more accurate understanding of an object's motion and for solving problems involving projectile motion. The horizontal and vertical velocity components determine the trajectory of a projectile, with the former affecting horizontal displacement and the latter determining height and direction. These components can change during motion due to external factors, but the total velocity of the object remains constant.
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Homework Statement


A golfball is hit with a velocity of 25m/s at an angle of 40 degrees above the horizontal. What are the horizontal and vertical components of the velocity?

i don't want the answer that's not my objective... just the correct formula cause I've been using all these mathematic equations which are getting me nowhere

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think of it as a triangle with the trajectory as the "hypotenuse". The x component would be vcosx and the vertical component would be vsinx
 

FAQ: Kinematic Question: Horizontal & Vertical Velocity Components

What is the difference between horizontal and vertical velocity components?

The horizontal velocity component refers to the speed at which an object is moving in a horizontal direction, while the vertical velocity component refers to the speed at which an object is moving in a vertical direction. These two components are perpendicular to each other.

How do you calculate the horizontal and vertical velocity components?

The horizontal velocity component can be calculated using the formula vx = v cosθ, where v is the total velocity and θ is the angle of the velocity vector with the horizontal. The vertical velocity component can be calculated using the formula vy = v sinθ.

Why is it important to consider the horizontal and vertical velocity components separately?

Considering the horizontal and vertical velocity components separately allows us to understand the motion of an object more accurately. It also helps in solving problems involving projectile motion, where the horizontal and vertical components of velocity are affected by different factors such as gravity and air resistance.

How do the horizontal and vertical velocity components affect the trajectory of a projectile?

The horizontal velocity component determines the amount of horizontal displacement an object will have, while the vertical velocity component determines the height and direction of the object's trajectory. The two components combined determine the overall path of the projectile.

Can the horizontal and vertical velocity components change during motion?

Yes, the horizontal and vertical velocity components can change during motion due to external factors such as air resistance, wind, or changes in gravitational force. However, the total velocity of the object remains constant, according to the law of conservation of energy.

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