How could we know about that:
Acceleration's unit is m/s2
Velocity's unit is m/s.
How could we know about that:
Acceleration's unit is m/s2
Velocity's unit is m/s.
velocity has a dimension of length over time. Meter is an unit of length and second is an unit of time. They are the SI units for their respective dimensions. Velocity is defined as the rate of change or the displscement of an object in an unit of time.
Acceleration is defined as change in velocity in an unit of time. It has the dimension of the amount of change in velocity within a window of time.
think of it this way:
in velocity, we want to know the change in displacement within a time period. Since displacement is measured in meters, we want velocity to be meters per second.
in acceleration, we want to know the change in velocity. Velocity is measured in m/s. So we put acceleration as m/s per second. Using simple math, we come up with the unit m/s^2.
velocity has a dimension of length over time. Meter is an unit of length and second is an unit of time. They are the SI units for their respective dimensions. Velocity is defined as the rate of change or the displscement of an object in an unit of time.
Acceleration is defined as change in velocity in an unit of time. It has the dimension of the amount of change in velocity within a window of time.
think of it this way:
in velocity, we want to know the change in displacement within a time period. Since displacement is measured in meters, we want velocity to be meters per second.
in acceleration, we want to know the change in velocity. Velocity is measured in m/s. So we put acceleration as m/s per second. Using simple math, we come up with the unit m/s^2.
