Calculate Vertical Velocity of 50kg Diver from 15m Board

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SUMMARY

The calculation of the vertical velocity of a 50 kg diver diving horizontally from a 15-meter board involves understanding potential energy (PE) and kinetic energy (KE). The initial potential energy at 15 meters is calculated as 7358 joules, while at 10 meters, it is 4905 joules. The kinetic energy at 10 meters is determined to be 2453 joules, leading to a vertical velocity of 9.91 m/s. However, the correct interpretation of the height is crucial, as the second height should reflect the diver's position relative to the water, not just the distance from the board.

PREREQUISITES
  • Understanding of gravitational potential energy (PE = mgh)
  • Knowledge of kinetic energy (KE = 1/2 mv²)
  • Basic principles of physics related to motion and energy conservation
  • Ability to interpret physics problems accurately
NEXT STEPS
  • Review the principles of energy conservation in physics
  • Learn about projectile motion and its calculations
  • Study the effects of gravity on objects in free fall
  • Practice solving similar physics problems involving energy and motion
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Students studying physics, educators teaching energy conservation, and anyone interested in understanding the dynamics of diving and motion calculations.

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(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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It's 10 metres from the board, not 10 metres above the water. So your second height is just wrong.
 
Ohhh thankyou... lol... (always read the question twice and double check you understand it lol)...
 

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