To convert the acceleration unit from meters per second squared (m/s^2) to kilometers per hour squared (km/h^2), we need to perform a series of conversions. Here's the step-by-step process:
Step 1: Convert meters to kilometers. Since 1 kilometer is equal to 1000 meters, we can divide the given acceleration by 1000 to convert it from meters to kilometers. 3 m/s^2 = 3/1000 km/s^2
Step 2: Convert seconds to hours. To convert the time unit from seconds to hours, we need to consider that there are 3600 seconds in an hour (60 seconds per minute * 60 minutes per hour). 3/1000 km/s^2 * (3600 seconds/1 hour)
Step 3: Square the converted speed. We square the velocity conversion obtained from steps 1 and 2 to convert from km/s^2 to km/h^2. (3/1000 km/s^2 * (3600 seconds/1 hour))^2
Now, let's calculate the result:
(3/1000 km/s^2 * (3600 seconds/1 hour))^2 = (3/1000 * 3600/1)^2 km/h^2 = (10.8)^2 km/h^2 = 116.64 km/h^2
Therefore, 3 m/s^2 is equivalent to approximately 116.64 km/h^2.