Calculate Vertical Velocity of 50kg Diver from 15m Board

In summary, the vertical velocity of the diver, who has a mass of 50 kg and is standing on a 15 meter high diving board, is 9.91 m/s when he dives horizontally and reaches a point 10 meters from the board.
  • #1
bionut
54
0
(Q) If a diver (standing on a 15 meter high diving board) dives horizontally from the board, and mass is 50 kg. What is his vertical velocity 10 meters from the board ?

PE @ 15m = mgh = 7358j (max)

PE @ 10m = mgh = 4905j

KE @ 10m = 7358 - 4905 = 2453j

KE = 1/2 mv(sqr)

2453= 0.5 x 50 kg v(sqr)

v= 9.91 m/s ... but this is wrong and I can't think of what I have done wrong... any ideas...
 
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  • #2
It's 10 metres from the board, not 10 metres above the water. So your second height is just wrong.
 
  • #3
Ohhh thankyou... lol... (always read the question twice and double check you understand it lol)...
 

What is the formula for calculating vertical velocity?

The formula for calculating vertical velocity is v = √(2gh), where v is the velocity, g is the acceleration due to gravity (9.8 m/s^2), and h is the height from which the object is dropped.

How do you calculate the vertical velocity of a 50kg diver?

To calculate the vertical velocity of a 50kg diver, we need to know the height from which the diver is jumping and the acceleration due to gravity. Using the formula v = √(2gh), we can plug in the values of g = 9.8 m/s^2 and h = 15m to get the vertical velocity of the diver.

What is the unit of measurement for vertical velocity?

The unit of measurement for vertical velocity is meters per second (m/s).

Why is it important to calculate vertical velocity?

Calculating vertical velocity is important in order to understand the motion and speed of an object, such as a diver jumping off a diving board. It can also be used to predict the height or depth at which the object will reach and to analyze the forces acting on the object.

What factors can affect the vertical velocity of a diver?

The vertical velocity of a diver can be affected by factors such as the height from which they are jumping, their body position, air resistance, and external forces such as wind or water currents.

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