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Mathematics 11 Online
OpenStudy (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.

OpenStudy (anonymous):

\[a = \frac{\Delta v}{t} = \frac{v_f - v_o}{t}\]

OpenStudy (anonymous):

Use this formula.

OpenStudy (mathhelp346):

i know the formula im just having trouble converting the units

OpenStudy (anonymous):

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

OpenStudy (anonymous):

|dw:1349065649701:dw|

OpenStudy (anonymous):

Does this clear everything?

OpenStudy (mathhelp346):

24.4

OpenStudy (mathhelp346):

yea

OpenStudy (anonymous):

Yeah, now find Vo Then convert it back to km/h

OpenStudy (mathhelp346):

so is it 13.78?

OpenStudy (mathhelp346):

km/h

OpenStudy (anonymous):

13.78 Is it in m/s ?

OpenStudy (mathhelp346):

oops yes

OpenStudy (mathhelp346):

how would i convert it back

OpenStudy (anonymous):

Let me show you. |dw:1349067937197:dw|

OpenStudy (anonymous):

|dw:1349068014177:dw|

OpenStudy (anonymous):

\[\frac{13.78 \cdot 3600 \text{km}}{1000 \text{h}}\]

OpenStudy (anonymous):

Just treat units as "variable." You know what I mean?

OpenStudy (mathhelp346):

ok

OpenStudy (mathhelp346):

so it would be 49.6 km/h

OpenStudy (anonymous):

That's correct.

OpenStudy (mathhelp346):

ok ty

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