Since the velocity is constant due to the fact that there are no external forces acting in the horizontal direction, if you neglect air resistance, therefore, the horizontal velocity of a projectile is constant.
That's true if you ignore air resistance, as we customarily do in order to simplify
discussions of projectile motion. It's true because there's no horizontal force
acting on the projectile, to increase or decrease the horizontal component of
its velocity.
Because gravity is acting on the object in the vertical plane causing an acceleration which changes the objects vertical velocity as a function of time.
Gravity! 32'/sec/sec keeps attracting it. But the projectile doesn't remain constant. Friction from the air causes it to slow down.
Only the horizontal component remains constant in this case. The vertical component changes at a rate of about 9.8 meters/second2 (assuming normal Earth gravity).
Because there is no horizontal force on it, but there is a vertical force that's due to gravity.
the horizontal component remain unchanged because there in no acceleration in horizontal direction
horizontal
Because gravity is acting on the vertical component, exerting a constant -9.8m/s2 worth of acceleration.
The horizontal component of velocity for a projectile is not affected by the vertical component at all. Horizontal component is measured as xcos(theta) Vertical component is measured as xsin(theta) Whereas theta is the angle, and x is the magnitude, or initial speed.
A projectile that is thrown with an initial velocity,that has a horizontal component of 4 m/s, its horizontal speed after 3s will still be 4m/s.
the horizontal component remain unchanged because there in no acceleration in horizontal direction
horizontal
Because gravity is acting on the vertical component, exerting a constant -9.8m/s2 worth of acceleration.
The horizontal component of velocity for a projectile is not affected by the vertical component at all. Horizontal component is measured as xcos(theta) Vertical component is measured as xsin(theta) Whereas theta is the angle, and x is the magnitude, or initial speed.
A projectile that is thrown with an initial velocity,that has a horizontal component of 4 m/s, its horizontal speed after 3s will still be 4m/s.
A projectile will travel on a straight line unless external forces act upon it. Gravity will pull the projectile downward, i.e. affect its vertical velocity component. This is why the projectile will decelerate upwards, reach a maximum elevation, and accelerate back down to earth. The force vector of air resistance points in the opposite direction of motion, slowing the projectile down. For example, If the projectile is going forward and up, air resistance is pushing it backwards (horizontal component) and down (vertical component). Without air resistance, there is no external force acting upon the horizontal velocity component and the projectiles ground speed will stay constant as it gains altitude and falls back down to earth.
In the usual simple treatment of projectile motion, the horizontal component of the projectile's velocity is assumed to be constant, and is equal to the magnitude of the initial (launch) velocity multiplied by the cosine of the elevation angle at the time of launch.
Gravity... I think
The motion of a projectile is a combination of two motions, a constant speed motion in the horizontal direction, and an accelerated motion in the vertical direction. The velocity component that changes along the path is Vy.
One that goes directly up - the velocity having no horizontal component.
The horizontal component of a projectile's velocity doesn't change, until the projectile hits somethingor falls to the ground.The vertical component of a projectile's velocity becomes [9.8 meters per second downward] greatereach second. At the maximum height of its trajectory, the projectile's velocity is zero. That's the pointwhere the velocity transitions from upward to downward.
The 'x' component of the velocity is usually the label given to the horizontalcomponent. Also, remember, we generally ignore air-resistance in this typeof exercise. When we do that, there is no horizontal force on the object, sothe horizontal component of velocity can't change.The only force on the object is gravity, and that's completely vertical, so onlythe vertical component of velocity can change.