A particle moves along a line so that its position at time seconds is meters

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

Problem

A particle moves along a line so that its position at time

t

seconds is

s(t)=e^{0.4t}

meters. The ambient temperature (in degrees Celsius) at the particle’s location is given by

T(s)=10+0.02s^{3}

. Determine

\dfrac{dT}{dt}

t=5\text{ s}