What does it mean that horizontal and vertical components of vectors are independent and why is it so important?

A change in the horizontal component does not affect the vertical component. This is what is meant by the phrase “perpendicular components of vectors are independent of each other.” A change in one component does not affect the other component. Changing a component will affect the motion in that specific direction.

What is meant by the statement the vertical and horizontal motions of a projectile are independent?

“The vertical and horizontal motions of a projectile are independent. When there is no air resistance, the horizontal motion component does not experience an acceleration and has constant velocity; the vertical motion component of a projectile experiences a constant acceleration under these same conditions.

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).

Why does the vertical component of velocity for a projectile change with time whereas the horizontal component of velocity doesn’t change?

3. Why does the vertical component of velocity for a projectile change with time, whereas the horizontal component of velocity doesn’t? The force of gravity on a projectile acts only vertically, hence only the vertical component of a projectile changes with time.

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.

Did the horizontal and vertical motion interact or affect one another?

The horizontal and vertical components of two-dimensional motion are independent of each other. Any motion in the horizontal direction does not affect motion in the vertical direction, and vice versa.

Did the horizontal and vertical motions interact or affect one another?

Do the horizontal and vertical components of projectile motion depend on each other?

Why does the vertical component of velocity for a projectile?

Any object that moves through the air or through space under the influence of gravity. The vertical component changes because vertical motion is influenced by the gravitational force (which acts in the vertical direction). The vertical component of velocity decreases as the stone rises, and increases as it falls.

Why is the vertical component of a projectile velocity constant?

TRUE – A projectile has a vertical acceleration of 9.8 m/s/s throughout the entire trajectory. This acceleration value is constant. This means that the vertical velocity changes by the same amount – 9.8 m/s – during each second of its motion. There is a change in the vertical velocity by a constant amount.

What is the one thing that connects the horizontal and vertical components of a projectile?

This path is called the object’s trajectory. The trajectory of a projectile depends on motion in two dimensions. The x component is the horizontal motion of the projectile, and the y component is the vertical motion of the projectile. The units to express the horizontal and vertical distances are meters (m).

What is the difference between horizontal and vertical motion?

The horizontal and vertical motion are independent of each other and are only linked by time. The path of a projectile is parabolic and is referred to as its trajectory. Projectiles That are Not Launched A projectile that is not launched is one that has no initial vertical velocity.

How are the perpendicular components of vectors independent of each other?

A change in the horizontal component does not affect the vertical component. This is what is meant by the phrase “perpendicular components of vectors are independent of each other.” A change in one component does not affect the other component. Changing a component will affect the motion in that specific direction.

Why do we choose the horizontal axis instead of the vertical?

Or, one can do it the other way around, i.e., nominate the x -axis, in which case the y -axis is then automatically determined. There is no special reason to choose the horizontal over the vertical as the initial designation: the two directions are on par in this respect.

What is the difference between horizontal and vertical planes?

A plane which contains P and is normal to the designated direction is the horizontal plane at P. Any plane going through P, normal to the horizontal plane is a vertical plane at P. Through any point P, there is one and only one horizontal plane but a multiplicity of vertical planes. This is a new feature that emerges in three dimensions.