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PROJECTILE MOTION
 | At a given location on the earth and in the absence of air resistance, all objects fall with the same uniform acceleration. Thus, two objects of different sizes and weights, dropped from the same height, will hit the ground at the same time. |
| An object is controlled by two independant motions. So an object projected horizontally will reach the ground in the same time as an object dropped vertically. No matter how large the horizontal velocity is, the downward pull of gravity is always the same. |  |
| Here are the formulas that describe projectile motion: |
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| Once the object leaves the table, it experiences a downward acceleration equal to gravity. Thus the vertical velocity(Vy) is continually increasing. The horizontal velocity(Vx) remains constant and is equal to Vxo.The two vectors Vx and Vy are added together to get the velocity at each point on the path. | If an object is pointed at an angle, the motion is essentially the same except that there is now an initial vertical velocity(Vyo). Because of the downward acceleration of gravity, Vy continually decreases until it reaches its highest point, at which it begins to fall downward. |
General Ballistic Trajectory
The motion of an object under the influence of gravity is determined completely by the acceleration of gravity, its launch speed, and launch angle provided air friction is negligible. The horizontal and vertical motions may be separated and described by the general motion equations for constant acceleration. The initial vector components of the velocity are used in the equations. The diagram shows trajectories with the same launch speed but different launch angles. Note that the 60 and 30 degree trajectories have the same range, as do any pair of launches at complementary angles. The launch at 45 degrees gives the maximum range. 
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Where will it land?
The basic motion equations give the position components x and y in terms of the time. Solving for the horizontal distance in terms of the height y is useful for calculating ranges in situations where the launch point is not at the same level as the landing point. 
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