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Question
question 5 (1 point)
what is the conversion factor between km/h2 and m/s2?
7.72×10 - 6 m/s2
2.78×10 - 1 m/s2
1.30×104 m/s2
3.60 m/s2
Step1: Convert kilometers to meters
We know that \(1\ km = 1000\ m\).
Step2: Convert hours squared to seconds squared
Since \(1\ h=3600\ s\), then \(1\ h^{2}=(3600)^{2}\ s^{2}= 12960000\ s^{2}\).
Step3: Calculate the conversion factor
The conversion from \(km/h^{2}\) to \(m/s^{2}\) is \(\frac{1\ km}{1\ h^{2}}=\frac{1000\ m}{12960000\ s^{2}}\approx7.72\times 10^{-6}\ m/s^{2}\)
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\(7.72\times 10^{-6}\ m/s^{2}\)