How Is Initial Vertical Velocity Calculated in Projectile Motion?

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Initial vertical velocity (Voy) in projectile motion is calculated using the formula Voy = Vo sin(theta), where Vo is the initial velocity and theta is the angle of projection. For an object with an initial velocity of 50 m/s at a 30-degree angle, the calculated Voy is approximately 24.99 m/s. This calculation derives from the trigonometric relationship in a right triangle formed by the initial velocity's horizontal and vertical components. Understanding this concept requires visualizing the velocity components and applying basic trigonometry. Proper calculation of initial vertical velocity is essential for analyzing projectile motion accurately.
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I used to be really good at measuring stuff and all in projectile.But after a while i forgot how to measure the Voy(initial vertical velocity)
si it like Voy=Vo sin(0[angle sign])
but how does an object with an initial velocity of 50 m/s and an angle of 30 degrees have an Voy (or Vy) of 24.99?
 
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Firstly, you are not measuring the initial vertical velocity; you are calculating it from the angle of projection and the total inital velocity.

Yes, the vertical initial velocity is given by V0sin(theta)-- you can see this by drawing a diagram: the initial velocity and its horizontal and vertical components form a right angled triangle. Use trigonometry on this triangle.
 
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