Speed involving speed of sound?

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Homework Help Overview

The problem involves calculating the speed of a ball that is shot towards a drum located 65.8 meters away, with the total time taken to hear the impact being 0.72 seconds. The speed of sound is given as 340 m/s.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between the time taken for the ball to reach the drum and the time taken for the sound to return. There are attempts to separate these times and calculate the speed of the ball based on the total time.

Discussion Status

Some participants have provided insights into how to approach the problem by suggesting to calculate the time for sound separately. There is an ongoing exploration of how to correctly interpret the total time and apply it to find the ball's speed.

Contextual Notes

Participants express confusion regarding the division of the total time into the time taken for the ball and the time for sound, indicating a need for clarification on how to apply the speed of sound in the calculations.

hannah2329
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Homework Statement


shoot a ball at a drum 65.8 meters away from you. you hear the impact .72 seconds later. if the speed of sound on that day was 340m/s how fast must the ball be traveling?


Homework Equations


speed=distance/time


The Attempt at a Solution


i found that the ball was traveling at 91.3m/s by taking 65.8/.72 but I am not sure how to pair that with the speed of sound to get the answer.
 
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hannah2329 said:

Homework Statement


shoot a ball at a drum 65.8 meters away from you. you hear the impact .72 seconds later. if the speed of sound on that day was 340m/s how fast must the ball be traveling?


Homework Equations


speed=distance/time


The Attempt at a Solution


i found that the ball was traveling at 91.3m/s by taking 65.8/.72 but I am not sure how to pair that with the speed of sound to get the answer.

The .72s is the time it took for the ball to get to the drum plus the time it took the sound to come back to you. Calculate the two halves of this separately, starting with the second one.
 
im still confused. what equation would i use to involve the speed of sound number?
 
hannah2329 said:
im still confused. what equation would i use to involve the speed of sound number?

speed = distance / time
 
i still have no idea. an i supposed to take half of the .72? for the time it took to hit and the time it took the sound to get to you?
 
You know how far the sound waves traveled and the speed at which they traveled. You should be able to figure out the time it took with those two pieces of information.
 
so i take 340=65.8/t and i get that it took .19 seconds? but i don't know what to do with that because I'm not looking for a time I'm looking for a speed.
 
If the total time it takes for the ball to travel plus the sound to return to you is .72 s and you calculate the time the sound takes to be .19 seconds, how long did it take the ball to reach the drum? How can you use that time to figure out how fast the ball was traveling?
 
ahh i finally got it right with one try left. :) thank you.
 

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