An astronaut stands by the rim of a crater on the moon, where the acceleration of gravity is 1.62 m/s². 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

The depth of the crater can be calculated using the formula:$$d = 1/2 * g * t^2$$where:d is the depth of the craterg is the acceleration of gravityt is the time it takes for the rock to hit the bottomPlugging in the given values, we get:$$d = 1/2 * 1.62 m/s^2 * (6.3 s)^2 = 32.4 m$$Therefore, the depth of the crater is 32.4 m, which is closest to choice D) 32 m.

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