Question

How will the equations of motion change in case of freely falling body and vertically projected body?

Answer 1

Equations of motion for freely falling body

$1) \: v \: = \: gt \\ 2) \: y \: = \: \frac{1}{2} g {t}^{2} \\ 3) \: {v}^{2} \: = \: 2gy$

Equations of motion for vertically projected body

$1) \: v \: = \: u \sin( \alpha ) \: - \: gt \\ 2) \: y \: = \: (u \sin( \alpha ) )t \: - \: \frac{1}{2} g {t}^{2} \\ 3) \: {v}^{2} \: = \: {(u \sin( \alpha )) }^{2} \: - \: 2gy$