In the simplest case - no air resistance, and not too high so that gravity doesn't change significantly - you'll get a parabola. If you have air resistance, the curve gets more complicated.
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The curve described by a projectile in flight is called a parabolic trajectory. This curve is a result of the combined effects of the projectile's initial velocity, launch angle, and the force of gravity acting upon it. The projectile follows this path as it moves through the air until it eventually falls to the ground due to gravity.
A projectile makes a curved path known as a parabolic curve when launched horizontally or at an angle. This curve is a result of the combined effects of gravity and the horizontal velocity of the projectile.
The main forces that cause a projectile to curve as it travels are gravity and air resistance. Gravity pulls the projectile downward, causing it to follow a curved path. Air resistance can also affect the trajectory of the projectile, particularly by slowing it down and altering its path.
A half projectile refers to the projectile motion of an object where it is launched at an angle of 45 degrees to the horizontal. This angle maximizes the range of the projectile for a given initial velocity, making it travel the furthest distance before hitting the ground. The path of the projectile is a parabolic curve.
To match the curve of the Earth, the projectile must travel at an initial velocity of about 7.9 km/s horizontally. This velocity is equivalent to the orbital velocity necessary for the projectile to continuously fall along the Earth's curvature. Accounting for air resistance and other factors may require adjustments to this initial velocity.
The horizontal velocity of a projectile remains constant if there is no air resistance or external forces acting horizontally. This means that the horizontal component of the projectile's velocity does not change throughout its trajectory, only its vertical component is affected by gravity.