Which physical quantity is defined as the rate of change of velocity with respect to time?
Acceleration
Velocity is the rate of change of displacement with time and is a vector. When this velocity itself changes in magnitude or direction, the object is said to accelerate.
Mathematically, acceleration is defined as \(a = \dfrac{dv}{dt}\), the time derivative of velocity, so its SI unit is m/s2 and it is a vector directed along the change in velocity.
Speed is only the magnitude of velocity, while distance travelled and displacement are length quantities that describe position change, not how quickly velocity itself varies.
Hence, the physical quantity defined as the rate of change of velocity with respect to time is acceleration.
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Important Questions from Speed and Velocity
Which of the following quantities specifies its speed with direction?
The basic unit of speed of an object is ______.
- Which of the following represents non-uniform linear velocity?
- Which of the following describes the nature of the average speed?
- An object starts from rest at x = 0 m and t = 0 s. It moves with a constant acceleration of \(2 \text{ m/s}^2\) along the x-axis. What is its average velocity between time 1 s and 5 s?
