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Mathhelp346

  • 2 years ago

PLEASE HELP: An automobile accelerates at 1.77 m/s^2 over 6.00s to reach the freeway speed at the end of an entrance ramp. If the car's final speed is 88.0 km/h, what was its initial speed when it began accelerating? Express your answer in kilometers per hour.

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  1. micahwood50
    • 2 years ago
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    \[a = \frac{\Delta v}{t} = \frac{v_f - v_o}{t}\]

  2. micahwood50
    • 2 years ago
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    Use this formula.

  3. Mathhelp346
    • 2 years ago
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    i know the formula im just having trouble converting the units

  4. micahwood50
    • 2 years ago
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    Alright, let convert 88 km/h to m/s. \[\frac{ 88 \text{km} }{ \text{h} }\cdot\frac{ 1000 \text{m}}{ \text{km} }\cdot\frac{ 1 \text{h} }{ 3600\text{s} } = ?\]

  5. micahwood50
    • 2 years ago
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    |dw:1349065649701:dw|

  6. micahwood50
    • 2 years ago
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    Does this clear everything?

  7. Mathhelp346
    • 2 years ago
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    24.4

  8. Mathhelp346
    • 2 years ago
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    yea

  9. micahwood50
    • 2 years ago
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    Yeah, now find Vo Then convert it back to km/h

  10. Mathhelp346
    • 2 years ago
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    so is it 13.78?

  11. Mathhelp346
    • 2 years ago
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    km/h

  12. micahwood50
    • 2 years ago
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    13.78 Is it in m/s ?

  13. Mathhelp346
    • 2 years ago
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    oops yes

  14. Mathhelp346
    • 2 years ago
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    how would i convert it back

  15. micahwood50
    • 2 years ago
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    Let me show you. |dw:1349067937197:dw|

  16. micahwood50
    • 2 years ago
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    |dw:1349068014177:dw|

  17. micahwood50
    • 2 years ago
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    \[\frac{13.78 \cdot 3600 \text{km}}{1000 \text{h}}\]

  18. micahwood50
    • 2 years ago
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    Just treat units as "variable." You know what I mean?

  19. Mathhelp346
    • 2 years ago
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    ok

  20. Mathhelp346
    • 2 years ago
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    so it would be 49.6 km/h

  21. micahwood50
    • 2 years ago
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    That's correct.

  22. Mathhelp346
    • 2 years ago
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    ok ty

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