Velocity and acceleration are related in one-dimensional motion by the fundamental equation of motion, which states that acceleration is the rate of change of velocity. Mathematically, acceleration (a) is defined as the derivative of velocity (v) with respect to time (t).
a = dv/dt
This means that acceleration measures how much the velocity of an object changes over a certain time interval. If the acceleration is constant, the velocity changes at a constant rate. If the acceleration is positive, the velocity increases with time, and if the acceleration is negative, the velocity decreases with time. Conversely, if the velocity is constant, the acceleration is zero, indicating that there is no change in velocity.
What is the relationship between velocity and acceleration
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