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Speed of bowling ball involving speed of sound

  1. Sep 9, 2015 #1
    1. The problem statement, all variables and given/known data
    A bowling ball traveling with a constant speed hits the pins at the end of a bowling lane 16.5 m long. The bowler hears the sound of the ball hitting pins 2.5 s after ball is released from his hands. What is the speed of ball, assuming speed of sound is 340 m/s?

    2. Relevant equations
    the kinematic equations
    x=x0+v0t+.5at^2
    v=v0+at
    vf^2=v0^2+2ax

    3. The attempt at a solution
    Well, I thought that somehow I could use the time it takes for the sound wave to travel up and down the bowling lane, which is (33 m)/(340 m/s)= about .097 s. See I can picture the problem in my head, but I don't know how to get t for the ball in order to find the speed.
     
  2. jcsd
  3. Sep 9, 2015 #2

    Nidum

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    Hint : start by working out the time taken for sound to travel one direction back from pins to bowler .
     
  4. Sep 9, 2015 #3
    Are you asking the time it takes sound to travel just to end of lane?
     
  5. Sep 9, 2015 #4
    Then wouldn't the time be about .049 s to travel from the pins to you?
     
  6. Sep 9, 2015 #5

    Nidum

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    So how long does ball take to travel from bowler to pins ?
     
  7. Sep 9, 2015 #6
    Now, since I hear the ball hitting the pins 2.5 s after I throw it, then the time it takes the ball to hit the pins= 2.5 s - .049 s =2.45 s. Now to find velocity I do v= change in r/change in t= 16.5 m/2.45 s= 6.73 m/s is speed of ball.
     
  8. Sep 9, 2015 #7
    .049 s.
     
  9. Sep 9, 2015 #8

    Nidum

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    Your answer of 2,45 sec travel time and 6,73 M/sec velocity is correct .
     
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