Can You Calculate the Rock's Speed Without Considering Sound Delay?

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Homework Help Overview

The problem involves calculating the speed of a rock thrown horizontally towards a bell, with a known distance and time delay for the sound to reach the observer. The context is within kinematics, specifically focusing on the relationship between distance, time, and speed while disregarding the effects of gravity.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss whether to disregard the speed of sound in their calculations. Some suggest using the hint provided in the problem to relate the time taken for the sound to travel to the time taken for the rock to reach the bell.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of how to incorporate the time delay of sound into their calculations. There is an exchange of ideas about how to set up the equations based on the information given, but no consensus has been reached yet.

Contextual Notes

Participants are navigating the implications of the hint regarding the time taken for sound to travel and how it affects the overall time of 4.5 seconds. The problem constraints include the disregard for gravity and the need to calculate the rock's speed based on the time delay for sound.

katyross
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Homework Statement


"A rock thrown horizontally at a large bell 50m away is heard to hit the bell 4.5 seconds later. If the speed of sound is 330m/s, what was the speed of the rock? (Disregard the effect of gravity.) [Hint: If it requires a time of t for the sound to return, then it requires (4.5 s-t) for the stone to reach the bell]


Homework Equations



v = d/t

The Attempt at a Solution



Would you completely disregard the speed of sound, and continue using the v= d/t?

v = 50 / 4.5
v = 11.1 m/s
 
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No, I would use the speed of sound, and the hint.
 
how would you fit that into the formula to find the speed of the rock?
 
katyross said:
how would you fit that into the formula to find the speed of the rock?

It tells you that if t is the time the sound takes to travel from the bell to your ear, then (4.5-t) is the amount of time the stone takes to travel to the bell.

How can you calculate t, given the speed of sound and the distance travelled?
 
v = d/t

t= d/v
(4.5-t) = 50/330

?
 

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