The position (in metres) of a particle moving along a straight line is given by…
MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
The position s(t) (in metres) of a particle moving along a straight line is given by
s(t)=4t3−6t+12,
where t is the time in seconds.
(a) Find the expression for the particle’s instantaneous velocity v(t).
(b) Calculate the velocities at t=0 s,t=1 s and t=3 s.
(c) From your answers in part (b), identify the instant(s), if any, at which the particle is momentarily at rest and state what this signifies about its motion at that instant.