In SI units, acceleration is measured in units of meters per second squared (m/s2). Which of the following combinations of units can also be used to measure acceleration?
km/s2
cm/s
miles per hour
m3/(mm2 · s2)
cm/s2
miles/(minutes)2
anything with distance/time^2
To identify which of the given combinations of units can also be used to measure acceleration, we need to examine the units for acceleration.
Acceleration is measured in SI units as meters per second squared (m/s^2). The meter (m) represents distance, and the second (s) represents time.
Let's analyze each of the options provided:
1. km/s^2: This combination is not a valid unit for measuring acceleration because kilometer is a unit of distance, not time.
2. cm/s: This combination is not a valid unit for measuring acceleration because centimeter is a unit of distance, not time. Additionally, the unit for acceleration involves a square (s^2), indicating that time is being squared.
3. miles per hour: This combination is not a valid unit for measuring acceleration because miles per hour represents a unit of speed, not acceleration.
4. m^3/(mm^2 · s^2): This combination is not a valid unit for measuring acceleration because m^3 represents volume, while mm^2 represents area. The unit for acceleration involves length divided by time squared.
5. cm/s^2: This combination is a valid unit for measuring acceleration. Here, centimeter (cm) represents distance, and second squared (s^2) represents time squared.
6. miles/(minutes)^2: This combination is not a valid unit for measuring acceleration because miles represents distance, and minutes squared represents time squared.
From the given options, the units that can also be used to measure acceleration are cm/s^2.