Question

Write the equation of motion of a body falling vertically down

Answer 1

Answer:

here is the equation of motion of a body falling freely under the effect of gravity

Answer 2

Answer:

Equation of motion are

v = gt..................(1)  ,    $v^{2}  = 2 g h$.............(2)  

$h = \frac{g}{2t^{2} }$..................(3)

Explanation:

Since we know that when a body is falling vertically down its $a = g$

Assume initial velocity u = 0 m/s

Final velocity =v m/s

apply first equation of motion.

v= u + at

v = gt..................(1)

apply second egaution of motion

$v^{2} -u^{2}  = 2 g h$

$v^{2}  = 2 g h$.............(2)

Where h = vertical distance covered by the body

apply third equation of motion

$h= ut + \frac{g}{2t^{2} }$

$h = \frac{g}{2t^{2} }$..................(3)

So, Equation of motion are

v = gt..................(1)  ,    $v^{2}  = 2 g h$.............(2)  

$h = \frac{g}{2t^{2} }$..................(3)