Question

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

Answer 1

h=5m t=5s u=0 g=?
h =ut +1/2gt^2
5=0×5+1/2×5×5×g
1=5/2g
g=2/5 =0.4 m/s^2

Answer 2

Hi mate !!

Here's the answer !!

Given :

Time = 5 seconds

Height = 5 meters 

To find :

Gravity = ?

Proof :

We know the formula that,

[tex]Height = ut + \frac{1}{2} gt^{2} [/tex]

Here,

H = Height , U = Initial Velocity , G = Gravity , T = Time

We know that,

Height = 5 meters

Initial Velocity = 0 m/sec ( As it is from rest )

G = ?

Time = 5 seconds

Substituting in the formula we get,

= 5 m = 0 × 5 + 1 / 2 × g × ( 5 )²

= 5 m = 0 + 1 / 2 × g × 25 

= 5 m = 25 / 2 × g

=> g = 5 × 2 / 25 

=> g = 10 / 25 = 0.4 m / sec ²

Hope my answer helped !!

Cheers !!