Leaping Off the 400-Year-Old Bridge in Bosnia

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Homework Help Overview

The problem involves a scenario where a jumper leaps off a 400-year-old bridge into the River Neretva, with specific questions regarding the duration of the jump, the speed upon impact, and the time it takes for the sound of the splash to reach a spectator on the bridge. The subject area includes kinematics and the physics of free fall.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the calculations for the duration of the jump and the jumper's speed at impact, with one participant questioning the appropriateness of the equations used for calculating the time it takes for sound to travel. There is an exploration of the relationship between speed, distance, and time for sound.

Discussion Status

The discussion is ongoing, with participants providing guidance on the correct approach to determine the time for sound to travel. There is recognition of the need to consider both the fall time and the sound travel time in the overall calculation.

Contextual Notes

One participant notes the challenge of negative time in their calculations, indicating potential confusion about the equations being applied. The original poster appears to be grappling with the correct setup for the sound travel equation.

mandy9008
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Homework Statement


In Bosnia, the ultimate test of a young man's courage used to be to jump off a 400 year old bridge (now destroyed) into the River Neretva, 23 m below the bridge. (a) How long did the jump last? (b) How fast was the jumper traveling upon impact with the river?
(c) If the speed of sound in air is 341 m/s, how long after the jumper took off did a spectator on the bridge hear the splash?


Homework Equations


a. and b. change in Y=Voy t - .5 gt2


The Attempt at a Solution


a. v=21.23 m/s
b. t=2.167s
c. Vy=Voy - gt
341 m/s =21.23 m/s - 9.8 m/s2 t
t=-32.63s
I know that time cannot be negative, but I have tried the inverse of this number also, and I am still getting it wrong. Am I even using the correct equation?
 
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mandy9008 said:
a. v=21.23 m/s
b. t=2.167s
OK.
c. Vy=Voy - gt
341 m/s =21.23 m/s - 9.8 m/s2 t
t=-32.63s
I know that time cannot be negative, but I have tried the inverse of this number also, and I am still getting it wrong. Am I even using the correct equation?
No, you are not. The sound travels through the air at a constant speed. (The sound is not a projectile.)
 
Could you point me in the right direction as to the equation I am supposed to use?
 
mandy9008 said:
Could you point me in the right direction as to the equation I am supposed to use?
What equation relates speed, distance, and time for something moving at constant speed? That's what you'll need to find the time it takes for the sound of the splash to travel up to the bridge.

(To find the total time, don't forget to add in the time it takes for the man to fall, which you've already calculated.)
 

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