Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 5 (1 point) what is the conversion factor between km/h2 and m/…

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

Explanation:

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 \(\frac{1\ km}{1\ h^{2}}=\frac{1000\ m}{12960000\ s^{2}}\approx7.72\times 10^{-6}\ m/s^{2}\)

Answer:

\(7.72\times 10^{-6}\ m/s^{2}\)