Question

3) An object takes 55 to reach the ground from a height of 5 m on a planet. What is
the value of g on the planet?​

Answer 1

Correct Question :

• An object takes 5 sec to reach the ground from a height of 5 m on a planet. What is the value of g on the planet?

Given :

• Initial velocity ( u ) = 0 m/s

• Displacement ( s ) = 5 m

• Time taken ( t ) = 5 sec

To Find :

• Acceleration due to gravity ( g )

Solution :

By using 2nd equation of motion

$\large\implies\boxed{ \boxed{\sf \blue{s = ut + \frac{1}{2}g {t}^{2}}}} \\ \\ \implies \sf 5 = 0 \times 5 + \frac{1}{2} \times g \times {5}^{2} \\ \\ \implies\sf 5 = \frac{25}{2}g \\ \\ \implies \sf g = \frac{5 \times 2}{25} \\ \\\implies \sf g = \frac{2}{5} \\ \\\large\implies\underline{\boxed{ \green{ \sf g = 0.4 \: {ms}^{ - 2}}}}$