Question

how long does it take a pen to hit the ground if it is released from rest 1.2m above the ground

Answer 1

Answer on Question 62535, Physics, Mechanics, Relativity

Question:

How long does it take a pen to hit the ground if it is released from rest 1.2 m above the ground?

Solution:

Let's find the time that the pen takes to hit the ground if it is released from rest 1.2 m above the ground. Because the initial velocity of the pen along y-axis equals to zero (it is released from rest), we can write:

$$h = \frac {1}{2} g t ^ {2},$$

here, $h$ is the height above the ground, $t$ is the time and $g$ is the acceleration of gravity.

Then, from this formula we can calculate the time:

$$t = \sqrt {\frac {2 h}{g}} = \sqrt {\frac {2 \cdot 1 . 2 m}{9 . 8 \frac {m}{s ^ {2}}}} = 0. 4 9 s.$$

Answer:

$$t = 0. 4 9 s.$$

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