Question

H = 100m g = 10m/s² t = ? m​

Answer 1

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Answer 2

To determine the time it takes for an object to fall from a height of 100 meters under the influence of gravity (acceleration due to gravity is 10 m/s²), we can use the formula for free fall:

$H = \frac{1}{2}gt^2$

where: H = height (in this case, 100 meters) g = acceleration due to gravity (10 m/s²) t = time (unknown)

Rearranging the formula, we get:

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

$t = \sqrt{\frac{2H}{g}}$

Substituting the given values, we can calculate the time:

$t = \sqrt{\frac{2 \times 100}{10}} = \sqrt{20} \approx 4.47 \text{ seconds}$

Therefore, it takes approximately 4.47 seconds for an object to fall from a height of 100 meters under the influence of gravity.