TRAJECTORY FORMULA - Class 11 PDF Download

A trajectory is the path taken up by a moving object that is following through the space as a function of time. Mathematically, a trajectory is described as a position of an object over a particular time. A much simplified example would by a ball or rock thrown upwards, the path taken by the stone is determined by the gravitational forces and resistance of air.

Some more common examples of trajectory motion would be a bullet fired from gun, an athlete throwing a javelin, satellite orbiting around the earth etc.

Some more common examples of trajectory motion would be a bullet fired from gun, an athlete throwing a javelin, satellite orbiting around the earth etc.

Trajectory formula is given by

y=xtanθ−gx22v2cos2θy=xtanθ−gx22v2cos2θ

Where,
y is the horizontal component,
x is the vertical component,
g= gravity value,
v= initial velocity,
θθ = angle of inclination of the initial velocity from horizontal axis,

Trajectory related equations are:

TimeofFlight:t=2v0sinθgTimeofFlight:t=2v0sinθg

Maximumheightreached:H=20sin2θ2gMaximumheightreached:H=02sin2θ2g
HorizontalRange:R=V20sin2θgHorizontalRange:R=V02sin2θg

Where,
Vo is the initial Velocity,
sin θθ is the y-axis vertical component,
cos θθ is the x-axis horizontal component.