Answer:
Distance, x = 73.10 meters
Explanation:
It is given that,
Mass of the rock, m = 25 g = 0.025 kg
Acceleration due to gravity, a = 1.62 m/s²
We need to find the distance traveled by the rock when it falls from rest in 9.5 seconds if the only force acting on it was the gravitational force due to the Moon. It can be calculated using the second equation of motion i.e.
[tex]x=ut+\dfrac{1}{2}at^2[/tex]
[tex]x=0+\dfrac{1}{2}\times 1.62\ m/s^2\times (9.5\ s)^2[/tex]
x = 73.1025 meters
or
x = 73.10 meters
So, the distance traveled by the rock is 73.10 meters. Hence, this is the required solution.