Projectile Lab

The motion of body in 2-dimensions under the action of gravity is known as projectile motion.
Velocity of projectile has x-component and y-component
x-component of initial velocity remains constant as no net force is acting on it.
y-component of velocity always changes as there is gravitational acceleration in it
Projectile moves upward to a certain height and then moves downward. At maximum height its y-component of velocity becomes zero
Maximum height depends upon the initial velocity and angle of projection
Total time of flight of projectile is twice the time it takes to reach the maximum height
Horizontal distance covered by projectle is called range of projectile. It is maximum for projection angle 45 for given initial velocity
The path followed by the projectile is called trajectory. The path of projectile is parabola

Here are some formulae:

Maximum height of projectile: $$h=\frac{v^2_{i}sin^2\theta}{2g}$$ Total time of flight: $$t = \frac{2v_{i}sin\theta }{g}$$ Range of projectile: $$R= \frac{v^2_{i}}{g} sin2\theta$$ Path (trajectory) of projectile: $$y= x tan\theta - \frac{g}{2v^2_{i} cos^2\theta}x^2$$

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