Mathematics

Problem

Identify the correct mathematical definition of instantaneous velocity

v

for a particle whose displacement is

x(t)

: a)

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

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

v=\dfrac{x(t)}{t}

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