Projectile motion formulas indicate how an object(a projectile) moves and behaves under the action of gravity by defining the trajectory of the object, which is also called the ballistic trajectory.

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Projectile motion formulas indicate how an object(a projectile) moves and behaves under the action of gravity by defining the trajectory of the object, which is also called the ballistic trajectory.

`Horizontal`

`Non-horizontal`

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Projectile motion formulas indicate how an object(a projectile) moves and behaves under the action of gravity by defining the trajectory of the object, which is also called the ballistic trajectory.

$v$, Symbol for Velocity(in Meter per seconds);

$t$, Symbol for Time(in Seconds);

$x$, Symbol for Horizontal Displacement(in Meters);

$y$, Symbol for Vertical Displacement(in Meters);

$g$, Symbol for The acceleration of gravity(in Meter per second square);

$a$, Symbol for Acceleration(in Meter per second square);

$d$, Symbol for Displacement(in Meters);

Galileo was quoted above pointing out with some detectable pride that none before him had realized that the curved path followed by a missile or projectile is a parabola. He had arrived at his conclusion by realizing that a body undergoing ballistic motion executes, quite independently, the motion of a freely falling body in the vertical direction and inertial motion in the horizontal direction. These considerations, and terms such as ballistic and projectile, apply to a body that, once launched, is acted upon by no force other than Earth’s gravity.

$x={v}_{x}t$

$y={v}_{y}t-\frac{1}{2}g{t}^{2}$

$({v}_{2}{)}^{2}=({v}_{1}{)}^{2}+2ad$

$v=\sqrt{{{v}_{x}}^{2}+{{v}_{y}}^{2}}$

^{Figure - 10.1} By Zátonyi Sándor, (ifj.) Fizped - Own work, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=18893493