Mathhelp346
  • Mathhelp346
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.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
\[a = \frac{\Delta v}{t} = \frac{v_f - v_o}{t}\]
anonymous
  • anonymous
Use this formula.
Mathhelp346
  • Mathhelp346
i know the formula im just having trouble converting the units

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anonymous
  • anonymous
Alright, let convert 88 km/h to m/s. \[\frac{ 88 \text{km} }{ \text{h} }\cdot\frac{ 1000 \text{m}}{ \text{km} }\cdot\frac{ 1 \text{h} }{ 3600\text{s} } = ?\]
anonymous
  • anonymous
|dw:1349065649701:dw|
anonymous
  • anonymous
Does this clear everything?
Mathhelp346
  • Mathhelp346
24.4
Mathhelp346
  • Mathhelp346
yea
anonymous
  • anonymous
Yeah, now find Vo Then convert it back to km/h
Mathhelp346
  • Mathhelp346
so is it 13.78?
Mathhelp346
  • Mathhelp346
km/h
anonymous
  • anonymous
13.78 Is it in m/s ?
Mathhelp346
  • Mathhelp346
oops yes
Mathhelp346
  • Mathhelp346
how would i convert it back
anonymous
  • anonymous
Let me show you. |dw:1349067937197:dw|
anonymous
  • anonymous
|dw:1349068014177:dw|
anonymous
  • anonymous
\[\frac{13.78 \cdot 3600 \text{km}}{1000 \text{h}}\]
anonymous
  • anonymous
Just treat units as "variable." You know what I mean?
Mathhelp346
  • Mathhelp346
ok
Mathhelp346
  • Mathhelp346
so it would be 49.6 km/h
anonymous
  • anonymous
That's correct.
Mathhelp346
  • Mathhelp346
ok ty

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