Question

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

Answer 1

Answer :

Given -

• Time = 5 s
• Height = 5 m

To Find -

• Acceleration (Acceleration due to gravity) ?

Solution -

The initial speed of the the object is obviously going to be 0 m/s.

Hence, Using the formula : s = ut + ½gt².

➸ 5 = 0*5 + ½*g*(5)²

➸ 5 = 0 + ½*25*g

➸ 5 = 25/2 * g

➸ 25 g = 5 * 2

➸ g = 10/25

➸ g = 0.4 m/s²

Hence, Acceleration due to gravity on that planet is 0.4 m/s².

Answer 2

Given: Time (t) = 5 s, height (s) = 5 m

To find: Gravitational acceleration (g)

Formula: s = ut + 1/2 gt²

Calculation: From formula,

5=0×t+1/2g (5)²

5=1/2 g×25

g=2/5

g = 0.4 m/s²

The gravitational acceleration of the planet is 0.4 m/s².

Hope it will help you..