Which of the following could be units of acceleration?
A) mi/h
B) m/s
C) mph
D) m/s/s
I know acceleration is the velocity/Time so I think they are all units of acceleration. Is this right?
acceleration is change of velocty per time, or (m/s)/s= m/s^2= m/s/s
Thank you
You are partially correct. Acceleration is indeed the rate of change of velocity with respect to time. However, not all of the options you provided can be directly considered units of acceleration.
The correct units of acceleration must be in terms of distance and time. Let's review each option:
A) mi/h - This unit represents the speed in miles per hour, not acceleration. It describes the rate at which an object is traveling, but it doesn't involve the changing velocity over time. Hence, this is not a unit of acceleration.
B) m/s - This is the correct unit of acceleration. It stands for meters per second and represents the change in velocity in meters per second over time, indicating how quickly an object's velocity is changing.
C) mph - Like option A, this unit stands for miles per hour. As mentioned before, it represents speed, not acceleration. Therefore, it is not a unit of acceleration.
D) m/s/s - This is also a valid unit of acceleration. It signifies the change in velocity in meters per second per second, which means how many meters per second the velocity changes every second. This unit is often written as m/s².
In summary, options B) m/s and D) m/s/s (m/s²) are the valid units of acceleration from the given choices.