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A theoretical answer can be derived if you ignore energy losses (such as air resistance). Assume the diver starts off with a downward velocity of zero, and accelerates under gravity with no energy losses.

Thus his acceleration is equal to g (the gravitational field strength) in a downward direction. This is about 9.8 N kg-1, or 9.8 m s-2, depending on how you write it (both are equivalent).

At the top of his dive, he has a kinetic (moving) energy of zero, and potential energy given by:

PE = m g h

where m is his mass (in kilograms), and h is the height of the diving board (in this case, 10 metres)

This is converted into kinetic energy as he falls. When he hits the water, we can say that he has a potential energy of zero, and kinetic energy given by:

KE = m v2 / 2

Energy cannot be created or destroyed, so the potential energy at the top of the dive must be equal to the kinetic energy at the bottom.

m g h = m v2 / 2

g h = v2 / 2

2 g h = v2

v = (2 g h)1/2

= (2 x 9.8 m s-2 x 10 m)1/2

= 14 m s-1

The true value (allowing for air resistance) may be slightly lower than this.

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āˆ™ 15y ago
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AnswerBot

āˆ™ 6mo ago

A diver hitting the water from a 10 meter high board will reach speeds of around 30-40 miles per hour depending on their form and technique. The impact speed is influenced by the force of gravity accelerating the diver as they fall towards the water.

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Wiki User

āˆ™ 12y ago

it depends on the weight of the diver. is would be faster if the diver was a yougn child, forsay, and faster if it were a sumo wrestler!!

NO IT DOESN'T. Whoever posted that is an idiot! If you drop a feather, a Bowling ball, and a vacuum cleaner in a vacuum they will all fall at the same time, you idiot! You are stupid! The SA to weight is all that would matter in what you are referring to and not enough to matter in the presented circumstances!

~50k/h, by the way.

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Anonymous

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āˆ™ 4y ago

50400 meters per hour, or 50.4 Kph; about 31 mph

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Anonymous

Lvl 1
āˆ™ 4y ago

about 21mph

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Q: How fast does a diver hit the water from 10 M high board?
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When you jump off a high diving board into water you notice great resistance of water this resistance is called what and is caused by waters great what?

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This is due to the high resistance or drag force exerted by the water as the diver enters it. The drag force quickly slows down the diver's speed, leading to a rapid deceleration compared to the relatively small gravitational force that initially accelerated the diver's fall. This difference in forces causes the diver to stop much faster in water than in free fall air.


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What is the potential energy of a 150 kg diver standing on a diving board that is 10 m high?

The potential energy of the diver can be calculated using the formula: PE = mgh, where m is the mass of the diver (150 kg), g is the acceleration due to gravity (9.81 m/s^2), and h is the height of the diving board (10 m). Therefore, the potential energy of the diver is PE = 150 kg * 9.81 m/s^2 * 10 m = 14,715 J.

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