Which statement correctly defines the instantaneous speed of a moving particle?

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Which statement correctly defines the instantaneous speed

s(t)

of a moving particle? (a) It equals the vector derivative

\dfrac{dx}{dt}

including direction. (b) It is the slope of the velocity–time graph at the given instant. (c) It is the magnitude of the instantaneous velocity,

s(t)=|v(t)|

.},{ (d) It is the average speed taken over a finite time interval.