Write the equations of motion for freely falling body.

Step1: The three general equations of motion are

$$\begin{gathered} \left(1\right)v=u+at \\ \left(2\right)s=ut+\frac{1}{2}a{t}^2 \\ \left(3\right)v^2=u^2+2as \\ where, \\ u\to initialvelocity \\ v\to finalvelocity \\ a\to acceleration \\ t\to time \\ s\to dis\tan ce \end{gathered}$$.

Step2: For a freely falling body

$$\begin{gathered} Acceleration\left(a\right)=Accelerationduetogravity\left(g\right) \\ Dis\tan cetravelled\left(s\right)=Heightabovethesurfaceoftheearth\left(h\right) \end{gathered}$$.

Thus, the equations of motion for a freely falling body is
$$\begin{gathered} \left(1\right)v=u+gt \\ \left(2\right)h=ut+\frac{1}{2}g{t}^2 \\ \left(3\right)v^2=u^2+2gh \end{gathered}$$.