An object with mass m was thrown off the origin O by velocity vo caused an angle φ with the horizontal axis. Since air resistance is neglected, the force that applies to the object is only its own weight(mg).
Second Newtonian Law
This equation of motion(a = g) expresses that projectile motion without air resistance does not depend on the mass of the object.
Consider the motion in two dimensions (x,y).
Boundary conditions of velocity :
hence,
Boundary conditions of positions
hence,
Therefore, the equations of time in both directions can be described as the following:
Height function y(x) is
Calculation of maximum height possibly reached.
Calculation of distance of falling.
The maximum distance of falling :
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