The displacement function of a moving object is described by $s ( t ) = t ^ { 2 } + 3 t - 7$ . What is the acceleration of the object as a function of time?
A) 2
B) 2t + 3
C) 2t
D) t

Question

Quizplus · Accepted Answer

Acceleration is the second derivative of the displacement function with respect to time. Differentiating $s(t) = t^2 + 3t - 7$ twice with respect to $t$ gives an acceleration of 2.

The Displacement Function of a Moving Object Is Described By s