An astronaut stands by the rim of a crater on the Moon,where the acceleration of gravity is 1.62 m/s² and there is no air.To determine the depth of the crater,she drops a rock and measures the time it takes for it to hit the bottom.If the time is 6.3 s,what is the depth of the crater? A)10 m B)14 m C)26 m D)32 m E)38 m

Question

Quizplus · Accepted Answer

We can use the kinematic equation for an object in free fall:
d = 0.5 * g * t^2
where d is the depth of the crater, g is the acceleration due to gravity on the Moon, and t is the time it takes for the rock to hit the bottom.

Plugging in the given values, we get:
d = 0.5 * 1.62 m/s^2 * (6.3 s)^2
d = 32 m

Therefore, the depth of the crater is 32 m, which corresponds to answer choice D.

An Astronaut Stands by the Rim of a Crater on the Moon,where