The displacement function of a moving object is described by $s ( t ) = t ^ { 3 } + 5 t - 4$ . What is the velocity of the object as a function of time?
A) $3 t ^ { 2 } + 5$
B) $3 t ^ { 2 }$
C) 3
D) 2

Question

Quizplus · Accepted Answer

The velocity of an object is the derivative of its displacement function with respect to time. Differentiating $s(t) = t^3 + 5t - 4$ with respect to $t$ gives $v(t) = 3t^2 + 5$.

The Displacement Function of a Moving Object Is Described By s