Leaping Off the 400-Year-Old Bridge in Bosnia

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In Bosnia, young men historically demonstrated their courage by jumping from a 400-year-old bridge into the River Neretva, a fall of 23 meters. Calculations show that the jump lasts approximately 2.167 seconds, with the jumper reaching a speed of 21.23 m/s upon impact. However, the approach to calculating the time it takes for the sound of the splash to reach spectators is incorrect; sound travels at a constant speed of 341 m/s, not as a projectile. The correct method involves using the formula that relates speed, distance, and time for sound, while also incorporating the fall time. The total time for the sound to be heard includes both the fall duration and the time for sound travel.
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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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