Question

an object takes 5 seconds to reach the Ground from a height of 5 M on a planet what is the value of g on the planet?

Answer 1

here s = 5m, t = 5s, u = 0 a = g = ?
we know that
s = ut + 1/2at²
5 = 0(5) + 1/2(a)(5)²
5 = 0 + (a)25/2
a = 5(2/25)
a = 2/5
a = 0.4m/s²

Answer 2

As we know that .

t = 5 s , S = 5 m , u = 0 , a = g = ??

$\large\rightarrow{s\:=\:ut\:+\:\frac{1}{2}\:g{t}^{2}}$

$\large\rightarrow{5\:=\:0\:(5)\:+\:\frac{1}{2}\:g{(5)}^{2}}$

$\large\rightarrow{5\:=\:0\:+\:\frac{1}{2}\:g(25)}$

$\large\rightarrow{5\:=\:0\:+\:\frac{25}{2}\:g}$

$\large\rightarrow{\frac{5}{25}\:×\:2\:=\:g}$

$\large\rightarrow{\frac{5\:×\:2}{25}\:=\:g}$

$\large\rightarrow{\frac{10}{25}\:=\:g}$

$\large\rightarrow{\cancel{{\frac{10}{25}}\:=\:g}}$

$\large\rightarrow{0.4m/{s}^{2}\:=\:g}$

$\large\rightarrow{g\:=\:0.4m/{s}^{2}}$