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Equation of trajectory x tan theta frac gx 2 2u 2cos 2 theta this is the equation of trajectory in projectile motion and it proves that the projectile motion is always parabolic in nature.
Projectile motion formula mathalino. This curved path was shown by galileo to be a parabola but may also be a line in the special case when it is thrown. V o x v o cos. V o x v o cos. For easy handling resolve the motion into x and y components and use the formulas in rectilinear translation.
Where v x is the velocity along the x axis v xo is initial velocity along the x axis v y is the velocity along the y axis. Form the figure below. Horizontal velocity initial horizontal velocity. V x v x0.
The projectile is the object while the path taken by the projectile is known as a trajectory. Following are the formula of projectile motion which is also known as trajectory formula. The vertical component of projectile is under constant gravitational acceleration and the horizontal component is at constant velocity. The vertical component of projectile is under constant gravitational acceleration and the horizontal component is at constant velocity.
Form the figure below. For easy handling resolve the motion into x and y components and use the formulas in rectilinear translation.
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