An object moves along a straight line and its position at time (in seconds) is given…

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

An object moves along a straight line and its position at time

t

(in seconds) is given by

x(t)=\frac{t^{3}}{3}-\frac{5 t^{2}}{2}+6 t

Find the instantaneous speed at

t=2.5 \mathrm{~s}