Physics, 03.11.2020 20:20 Kkampudiaa

A stone is released from rest from a height of 60 m. How long does it take to hit the ground? 4.4 s
2.3 s
5.2 s
3.5 s

Answers: 3

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Answer from: bdog2213

It would take a stone released from a height of 60m, 3.5s to hit the ground.

EQUATION OF MOTION:

The time taken for a stone of height 60m to hit the ground can be calculated by using the following formula of motion:S = ut + ½at²

Where;

S = distance (m)u = initial velocity (m/s)t = time a = acceleration due to gravity (9.8m/s²)Since the stone is released from rest, it would have a initial velocity of 0m/s. 60 = (0×t) + ½ × 9.8 × t²60 = 4.9t²t² = 60 ÷ 4.9t² = 12.24t = √12.24t = 3.5sTherefore, it would take a stone released from a height of 60m, 3.5s to hit the ground.

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Answer from: FireStorm4346

3.5 s

Explanation:

Given

$Initial\ Velocity (u) = 0m/s$ --- because it starts from rest

$Height\ (S) = 60\ m$

Required

Determine time (t) to hit the ground

This can be solved using the following motion equation

$S = ut + \frac{1}{2}gt^2$

Substitute values for S and u and take g as 9.8m/s^2

$60 = 0 * t + \frac{1}{2} * 9.8 * t^2$

$60 = 0 + \frac{1}{2} * 9.8 * t^2$

$60 = \frac{1}{2} * 9.8 * t^2$

Multiply through by 2

$2 * 60 = 2 * \frac{1}{2} * 9.8 * t^2$

120 = 9.8 * t^2

Solve for t^2

$t^2 = \frac{120}{9.8}$

t^2 = 12.2448979592

Take square roots

$t = \sqrt{12.2448979592$

t = 3.49927106112

$t=3.5\ s$ ---- approximated

Answer from: Quest

Neptune is the eighth planet from the sun. it was the first planet to get its existence predicted by mathematical calculations before it was actually seen through a telescope on sept. 23, 1846. irregularities in the orbit of uranus led french astronomer alexis bouvard to suggest that the gravitational pull from another celestial body might be responsible. german astronomer johann galle then relied on subsequent calculations to spot neptune via telescope. previously, astronomer galileo galilei sketched the planet, but he mistook it for a star due to its slow motion. in accordance with all the other planets seen in the sky, this new world was given a name from greek and roman mythology — neptune, the roman god of the sea.

Answer from: Quest

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A stone is released from rest from a height of 60 m. How long does it take to hit the ground? 4.4 s...

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