why does (second ) square occurs in the unit of acceleration
position is measured in meters. Its change in time is velocity, m/s
velocity's change in time is acceleration: (m/s)/s = m/s^2
Because position is measured in meters , its change in time is velocity m/s
The square in the unit of acceleration arises from the fact that acceleration is determined by a change in velocity over a given time. Acceleration is defined as the rate of change of velocity, so the unit of acceleration is a combination of the units for velocity and time.
The unit of velocity is typically meters per second (m/s), and the unit of time is typically seconds (s). When you divide the unit of velocity by the unit of time, you get a unit of meters per second per second (m/s²), which represents the amount of acceleration.
The reason for the square in the unit is because acceleration involves a change in velocity over time. So, when you divide the unit of velocity (m/s) by the unit of time (s), you are essentially dividing the change in velocity by the change in time. This results in a rate of change of velocity per second, which is represented as m/s².
To summarize, the square in the unit of acceleration arises from dividing the unit of velocity by the unit of time, giving the rate of change of velocity per second.