Velocity and Acceleration in One-Dimensional Motion
Velocity (v):
- Velocity, denoted by v, is a vector quantity that describes the rate at which an object changes its position.
- It is defined as the rate of change of displacement with respect to time.
- The SI unit of velocity is meters per second (m/s).
Acceleration (a):
- Acceleration, denoted by a, is a vector quantity that describes the rate at which an object changes its velocity.
- It is defined as the rate of change of velocity with respect to time.
- The SI unit of acceleration is meters per second squared (m/s^2).

Relationship between Velocity and Acceleration
- Acceleration is the derivative of velocity with respect to time. Mathematically, a = dv/dt, where a is acceleration, v is velocity, and t is time.
- If the acceleration is constant, the velocity of an object undergoing one-dimensional motion will change linearly with time.
- If the acceleration is zero, the velocity of the object will remain constant, indicating uniform motion.
- The direction of acceleration determines whether an object is speeding up, slowing down, or changing direction.
In conclusion, velocity and acceleration are crucial concepts in understanding the motion of objects in a straight line. The relationship between velocity and acceleration helps us analyze and predict the behavior of moving objects in one-dimensional motion.