What does it mean when it says that the horizontal and vertical components are independent of each other?

The horizontal and vertical motions of a projectile are independent, meaning they do not affect each other. The horizontal motion of a projectile is always constant, if we neglect air resistance. For projectiles shot at 0°, all of the initial velocity is in the x direction. Thus, Vyi = 0 m/s.

Which of the following where the horizontal component of a projectile’s is independent?

A projectile with a horizontal component of motion will have a constant horizontal velocity. The horizontal velocity of a projectile is 0 m/s at the peak of its trajectory. The horizontal velocity of a projectile is unaffected by the vertical velocity; these two components of motion are independent of each other.

Why are the vertical and horizontal components of a projectile treated separately?

The vertical force acts perpendicular to the horizontal motion and will not affect it since perpendicular components of motion are independent of each other. Thus, the projectile travels with a constant horizontal velocity and a downward vertical acceleration.

WHO stated first about the independence of the horizontal and vertical components of velocity of projectile motion?

Galileo
It was Galileo who first stated this independence of the horizontal and the vertical components of projectile motion in his Dialogue on the Great World Systems (1632).

What do you understand by horizontal component?

The horizontal component stretches from the start of the vector to its furthest x-coordinate. The vertical component stretches from the x-axis to the most vertical point on the vector. Together, the two components and the vector form a right triangle.

What is the horizontal component of a projectile’s velocity is independent of?

The horizontal velocity of a projectile is constant (a never changing in value), There is a vertical acceleration caused by gravity; its value is 9.8 m/s/s, down, The vertical velocity of a projectile changes by 9.8 m/s each second, The horizontal motion of a projectile is independent of its vertical motion.

What is horizontal projectile motion?

The horizontal motion of the projectile is the result of the tendency of any object in motion to remain in motion at constant velocity. Due to the absence of horizontal forces, a projectile remains in motion with a constant horizontal velocity. The only force acting upon a projectile is gravity!

What does it mean to say that the horizontal motion of a projectile is independent of the vertical motion of the same projectile?

The most important concept in projectile motion is that horizontal and vertical motions are independent, meaning that they don’t influence one another. Figure 5.27 compares a cannonball in free fall (in blue) to a cannonball launched horizontally in projectile motion (in red).

What is horizontal component and vertical component?

The horizontal velocity component (vx) describes the influence of the velocity in displacing the projectile horizontally. The vertical velocity component (vy) describes the influence of the velocity in displacing the projectile vertically.

What is vertical and horizontal component?

The bottom edge of the triangle is the horizontal component and the side opposite the angle is the vertical component. The angle that the vector makes with the horizontal can be used to calculate the length of the two components.