This is the example of free fall. Let's start with the kinematic formula: d = v1*t + 1/2a*t² where: d - distance v1 - initial distance (in free fall v1 = 0) t - time a - gravitational acceleration
We have: d = 2m a = 3.7 m/s² (on mercury) t = ?
In free fall, the expression looks like: d = 0*t + 1/2a*t² = 0 + 1/2a*t² ⇒ d = 1/2a*t²
Now, from here t can be calculated: t² = d ÷ 1/2a t² = 2d/a t = √(2d/a)
Let's replace the parameters: t = √(2 * 2 / 3.7) t = √(4/3.7) t = √1.08 t = 1.04 s