How Is Initial Vertical Velocity Calculated in Projectile Motion?

[WeakCarrier]

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?

 

[cristo]

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.

 

[m2003]

To measure the Voy (initial vertical velocity) of an object, you can use the equation Voy = Vo sinθ, where Vo is the initial velocity and θ is the angle of launch. This equation is derived from the vertical component of the projectile motion equation, which takes into account the initial velocity and the angle at which the object is launched.

In the case of an object with an initial velocity of 50 m/s and an angle of 30 degrees, the Voy can be calculated as follows:

Voy = 50 m/s * sin(30 degrees)
= 50 m/s * 0.5
= 25 m/s

Therefore, the Voy of the object is 25 m/s or 24.99 m/s (rounded to two decimal places).

It is important to note that the Voy is the vertical component of the initial velocity and is only one part of the overall velocity of the object. The horizontal component, Vx, can also be calculated using the equation Vx = Vo cosθ. Together, Vx and Voy determine the total initial velocity of the object.

In order to accurately measure the Voy, it is important to have precise measurements of the initial velocity and the launch angle. Any errors or uncertainties in these values can affect the calculated Voy. Additionally, factors such as air resistance and external forces can also impact the actual Voy of the object in real-world scenarios.