![]() Note that, for projection angle $\theta = 90^\circ$, $u_x = 0$, meaning $x = 0$ (vertical projectile motion) and for $\theta = 0^\circ$, $u_y = 0$. $u_x = u \cos \theta$ and $u_y = u \sin \theta$ It is derived using the kinematics equations: a x 0 v x v 0x x v 0xt a y g v y v 0y gt y v 0yt 1 2 gt2 where v 0x v 0 cos v 0y v 0 sin Suppose a projectile is thrown from the ground level, then the range is the distance between the launch point and the landing point, where the projectile hits the ground. Now, we can use the equations of motion for one dimension, i.e., $v =$ $u +$ $at$ and $\Delta s = ut + \cfrac g t^2$ Consider a projectile being launched at an initial velocity v 0 in a direction making an angle with the horizontal. Hence, by using this model we can, at least, get some idea of how air resistance modifies projectile trajectories. ![]() So, to begin with, note that, there is no acceleration in the horizontal direction (if we ignore air drag) but there is acceleration due to gravity in the vertical direction, with ‘$g$’ pointed downwards. This is not a particularly accurate model of the drag force due to air resistance (the magnitude of the drag force is typically proportion to the square of the speed-see Section 3.3), but it does lead to tractable equations of motion. v0x vx, x x0 +vxt v 0 x v x, x x 0 + v x t. The only factors affecting an object’s predictable. Equations of motion can be applied separately in the X- and Y-axes to determine the unknown parameters. The only acceleration present in projectile motion occurs vertically and is caused by gravity (g). The object is called a projectile, and its path is called its trajectory. An object that has been projected or thrown into the air is referred to as a projectile. We will begin with equations of motion, eq, of projectile for oblique projectile motion and we will then see how these equations change for $\theta = 0^\circ$ (horizontal projectile motion) and $\theta = 90^\circ$ (Vertical Projectile Motion) The kinematic equations for motion in a uniform gravitational field become kinematic equations with ay g, ax 0: a y g, a x 0: Horizontal Motion. Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. If ax 0, this means the initial velocity in the x direction is equal to the final velocity in the x direction, or vx v0x.
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