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blackstreet23

  • one year ago

Express the speed limit of 65 miles/hour in terms m/s

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  1. SolomonZelman
    • one year ago
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    \(\large\color{black}{ \displaystyle 65{\rm miles}{~/~}1{\rm hour} }\)

  2. SolomonZelman
    • one year ago
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    convert hours to seconds. 1 hour = 60 minutes 1 minute = 60 seconds Therefore: 1 hour = 360 seconds

  3. SolomonZelman
    • one year ago
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    \(\large\color{black}{ \displaystyle 65{\rm miles}{~/~}360{\rm seconds} }\)

  4. SolomonZelman
    • one year ago
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    then convert miles to meters.

  5. blackstreet23
    • one year ago
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    wouldnt it be 3600?

  6. SolomonZelman
    • one year ago
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    1 mile = 1609.34 meters

  7. blackstreet23
    • one year ago
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    m/s means meters per second right?

  8. SolomonZelman
    • one year ago
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    1609.34 × 65 = 104609.1 \(\large\color{black}{ \displaystyle 104609.1~{\rm miles}{~/~}360{\rm seconds} }\)

  9. SolomonZelman
    • one year ago
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    divide top and bottom by 360, and you get?

  10. blackstreet23
    • one year ago
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    no i mean. 1 hour = 3600 seconds right? 1*60*60

  11. SolomonZelman
    • one year ago
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    oh, true, my bad.

  12. SolomonZelman
    • one year ago
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    \(\large\color{black}{ \displaystyle 104607.1~{\rm miles}{~/~}3600{\rm seconds} }\) then divide by 3600 on top and bottom

  13. SolomonZelman
    • one year ago
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    http://www.wolframalpha.com/input/?i=%281609.34%C3%9765%29%2F3600 \(\large\color{black}{ \displaystyle 29.057527777777...~{\rm miles}{~/~}{\rm seconds} }\)

  14. blackstreet23
    • one year ago
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    I am not understanding

  15. SolomonZelman
    • one year ago
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    \(\large\color{black}{ \displaystyle 29.1{\rm m}{/}{\rm s} }\)

  16. SolomonZelman
    • one year ago
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    I have this: \(\large\color{black}{ \displaystyle 104607.1~{\rm miles}{~/~}3600{\rm seconds} }\) then I am dividing by 3600 on top and bottom so that I get meters per seconds.

  17. SolomonZelman
    • one year ago
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    and this is what I got: \(\large\color{black}{ \displaystyle 29.1{\rm m}{/}{\rm s} }\)

  18. blackstreet23
    • one year ago
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    could you show me the whole process that you are doing, please ?

  19. blackstreet23
    • one year ago
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    \[65 *\frac{ miles }{ hour } = 65 * \frac{ 1609.34 meters }{ 3600 seconds }\]

  20. blackstreet23
    • one year ago
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    is it?

  21. blackstreet23
    • one year ago
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    @freckles @SolomonZelman @amistre64

  22. blackstreet23
    • one year ago
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    29.0575277778

  23. blackstreet23
    • one year ago
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    ohh i see now

  24. blackstreet23
    • one year ago
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    Thanks a lot !

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