Identify the correct mathematical expression for the instantaneous velocity of a…

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

Identify the correct mathematical expression for the instantaneous velocity

v(t)

of a particle whose displacement at time

t

s(t)

. (a)

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

(b)

v(t)=s'(t)

(c)

v(t)=\dfrac{s(t+\Delta t)-s(t)}{\Delta t}

(d)

v(t)=\dfrac{s(t)-s(0)}{t}