what is the initial velocity (Vyo) of a projectile launched horizontally? why?

i know that it is 0 m/s, but i don't know why/how to explain it.

The intial velocity? it is the launching velociy, in the horizontal, it vo*cosTheta. For theta=zero, the horizontal velocity is vo. For the vertical, it is vo*sinTheta, and for vertical velocity voy, sinTheta is zero (for theta=zero).

The initial velocity (Vyo) of a projectile launched horizontally is indeed 0 m/s. To understand why, we need to consider the factors that determine the initial velocity.

When a projectile is launched horizontally, it means that its initial motion is solely in the horizontal direction, with no vertical component initially. In this case, gravity does not have any effect on the horizontal motion of the projectile. The only force acting on the projectile is the force providing the initial horizontal velocity.

Since no force is acting vertically, the initial velocity in the vertical direction (Vyo) is not affected or influenced by any force. As a result, the initial vertical velocity is 0 m/s. Consequently, the initial velocity (Vyo) of a horizontally launched projectile is zero.

To explain this concept further, it might be helpful to visualize the horizontal launch of a projectile. Imagine throwing a ball horizontally from a building. Initially, the ball does not have any upward or downward motion — it only moves horizontally due to your throwing force. As gravity only affects the vertical motion, the ball begins to fall downwards gradually, but this downward motion does not affect the horizontal motion. Thus, the vertical component of the initial velocity is zero.

In summary, the initial velocity (Vyo) of a projectile launched horizontally is 0 m/s because there is no initial vertical force and, therefore, no initial vertical motion.