The horizontal and vertical components don't change. In fact, weight is
completely vertical, and has no horizontal component at all, regardless
of what the object happens to be sitting on.
But the components parallel to the ramp and normal to the ramp depend on
the slope of the ramp.
In projectile motion, the horizontal component of motion is constant and does not change, while the vertical component is affected by gravity causing it to accelerate downwards. This results in a parabolic path of the projectile where the horizontal distance traveled is determined by the initial velocity and angle of projection, while the vertical distance is influenced by gravity.
When a body is thrown horizontally with uniform speed, there is no change in the horizontal velocity, so the horizontal component of acceleration is zero. The only acceleration acting on the body is due to gravity in the vertical direction.
Changing the angle of an object's motion will affect both the horizontal and vertical components of its velocity. For example, if you increase the angle of launch for a projectile, it will have a greater vertical component and a shorter horizontal component. This will result in a change in the overall velocity vector of the object.
Any vector could be resolved into perpendicular components one along x axis and the other along y axis. So all vectors would be split into two components. Now we can easily add the x components and y components. If all in the same simply addition. If some are in opposite we have to change its sign and add them. Finally we will have only two one along x and another along y. Now we can get the effective by using Pythagoras.
That means the if you change one you do not necessarily change the other. In the case of the projectile the vertical component is dependent on time (if it is a projectile near a large mass like the earth) gravity acts on it accelerating the projectile in a downward direction. The horizontal component remains the same during the entire flight (if we disregard air resistance and such things).
the term for the ratio of vertical change over horizontal change is slope
In projectile motion, the horizontal component of motion is constant and does not change, while the vertical component is affected by gravity causing it to accelerate downwards. This results in a parabolic path of the projectile where the horizontal distance traveled is determined by the initial velocity and angle of projection, while the vertical distance is influenced by gravity.
The Slope
The Slope
the slope
No, rise is the vertical change. Run is the horizontal change.
Slope.
slope
gradient
Slope.
Slope.
you measure it.