Tamilnadu BoardEnglish MediumSTD 11PhysicsKinematics2 Marks
Question
Write a note an instantaneous acceleration.
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Answer
Instantaneous acceleration or acceleration of a particle at time ' $t$ ' is given by the ratio of change in velocity over $\Delta t$, as $\Delta t$ approaches zero. Acceleration $\vec{a}=\lim _{\Delta t \rightarrow 0} \frac{\Delta \vec{v}}{\Delta t}=\frac{d \vec{v}}{d t}$ In other words, the acceleration of the particle at an instant $t$ is equal to rate of change of velocity (1) Acceleration is a vector quantity. Its SI unit is $ms ^{-2}$ and its dimensional formula is $\left[ M ^{\circ} L ^1 T ^{-2}\right]$ (2) Acceleration is positive if its velocity is increasing, and is negative if the velocity is decreasing. The negative acceleration is called retardation or deceleration.
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