The displacement (in metres) of a particle moving along a straight line after seconds…
MATHEMATICS · Multi-part · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
The displacement s (in metres) of a particle moving along a straight line after t seconds is given by
s(t)=4+2t−0.5t3.
(a) Find the expression for the instantaneous velocity v(t).
(b) Determine the time(s) when the particle comes to instantaneous rest.
(c) Calculate the displacement of the particle at the time found in part (b).