Which of the following expressions gives the instantaneous velocity of a particle at…

PHYSICS · Single correct · AP · Physics C: Mechanics · Kinematics · Kinematics

Problem

Which of the following expressions gives the instantaneous velocity

v

of a particle at time

t

? (a)

v = \dfrac{\Delta x}{\Delta t}

(b)

v = \displaystyle \lim_{\Delta t \to 0} \dfrac{\Delta x}{\Delta t}

(c)

v = \displaystyle \lim_{\Delta x \to 0} \dfrac{\Delta x}{\Delta t}

(d)

v = \displaystyle \lim_{\Delta t \to 0} \dfrac{\Delta s}{\Delta t}