Answer: The rate of change of velocity is called acceleration.
- Velocity can be defined as the displacement per unit of time (a vector quantity). Velocity is positive (+) or negative (-) based on the direction of motion.
- Acceleration can be defined as the change in velocity per unit of time. A change in velocity requires the application of a push or a pull force. It is a vector quantity and must have a direction. The symbol used to represent acceleration is “a” and its SI unit is m/s/s or m/s².
- As velocity is a vector quantity that involves speed as well as direction, acceleration occurs when the speed of an object varies, and/or the direction of the object varies.
- The definition of acceleration can be expressed mathematically as,Where vf
is the final velocity and vi is the initial velocity. The change in time is commonly expressed as the letter “t” because we assume that the initial time was zero (0).
5 Acceleration can be positive (+) or negative (-) based on the direction of motion. A negative acceleration does not every time represent that the concerned body or an object is slowing down. If an object is moving in the negative direction, the acceleration would be negative as the speed of the said object has increased and positive when the speed of the said object has decreased. An example of this is the acceleration due to gravity. An object in free fall has a negative acceleration even though it is increasing speed. It is negative because the object is moving in a negative direction.
6. Velocity and Acceleration on a curve:- For a vehicle moving on a curve at a uniform speed, the acceleration perpendicular to the velocity and the magnitude of the velocity stay the same, while the velocity’s direction changes.