How in case of projectile motion horizontal velocity uniform even projectile angle changes from point to point?

In projectile motion projectile angle changes point to point,so verticle velocity component decreases and increases,but the horizontal velocity component is same, how.why means as it going up projectile angle change,so the velocity horizontal component must change.but it is not happning like that.explainHow in case of projectile motion horizontal velocity uniform even projectile angle changes from point to point?Your first 2 answers are right. At any point you can break the velocity into its vertical and horizontal components. So that instantaneous velocity vector is the sum of those 2 components. And you can analyze the vertical motion and and vertical forces separately from the horizontal motion and horizontal forces. There are no horizontal forces (except air drag which are usually ignored in projectile problems). Since there are no horizontal forces, there will be no horizontal acceleration/deceleration.



Maybe this will help you visuallize and believe:

Let the initial velocity be Vi. So the initial vertical component of that is Vi*sin(theta) and the initial horizontal component of Vi is Vi*cos(theta) where theta is the angle between the barrel and horizontal. Now imagine it as if the cannon is on a train with the barrel pointed straight up and the train is moving at Vi*cos(theta). This cannon isn't as powerful, its muzzle velocity is Vi*sin(theta). To someone on the train the projectile will go straight up and come back down onto the cannon. To someone watching from a distance away from the track, the projectile will still fall on the cannon. But it will follow the same trajectory as the cannon in the original problem where the cannon is on solid ground. Same height, impact same distance downrange.How in case of projectile motion horizontal velocity uniform even projectile angle changes from point to point?The horizontal velocity component does decrease due to air resistance. The vertical velocity component is affected by gravity, whereas the horizontal component is not. Projectiles move in parabolas, where y=ax^2+bx+c, and the angle of the tangent to the horizontal is

90-(90/(ax+b+1)).How in case of projectile motion horizontal velocity uniform even projectile angle changes from point to point?You can calculate the horizontal and vertical components of the velocity separately, and then combine them, because one doesn't affect the other. The total velocity can't change instantaneously, but it does change gradually during the flight. As the object goes up, its vertical velocity (and total velocity) gradually decreases. As it levels off, the total velocity is at a minimum and is equal to only the horizontal part. Then as it comes back down, the velocity increases again. (The vertical part is now negative, but the total velocity along the path of motion is increasing.) Of course, the horizontal velocity gradually decreases because of air resistance, but this is usually a much smaller effect than the vertical acceleration due to gravity.

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