Velocity is measured in meters per second (m/s) because it represents the rate of change of position with respect to time. When you say an object has a velocity of 10 m/s, it means that the object is moving at a rate of 10 meters per second in a particular direction.
Acceleration, on the other hand, is measured in meters per second squared (m/s^2). Acceleration represents the rate of change of velocity with respect to time. It measures how quickly an object's velocity is changing. For example, if an object's velocity changes by 5 meters per second in one second, its acceleration is 5 m/s^2.
The reason for measuring acceleration in m/s^2 is because it quantifies the change in velocity per unit time. Since velocity is measured in meters per second (m/s), and time is measured in seconds (s), the units for acceleration become meters per second squared (m/s^2). The squared term arises because acceleration involves the ratio of two measurements of velocity divided by time.