Question

A stone is dropped at rest from the top of a cliff. it is observed to hit the ground 5.78s later it falls an acceleration of -10m/s2. How high is the cliff?

Answer 1

Answer on Question #47985, Physics, Mechanics | Kinematics | Dynamics

Question:

A stone is dropped at rest from the top of a cliff. it is observed to hit the ground 5.78s later it falls an acceleration of -10m/s2. How high is the cliff?

Answer:

Height of the cliff equals:

$$h = \frac {g t ^ {2}}{2}$$

where $g$ is acceleration due to gravity, $t$ is time.

$$h = 10 \frac {5.78^{2}}{2} = 167 \, m$$

Answer: 167 m

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