Question

Given the following acceleration function of an object moving along a line, find the position function with the given initial velocity and position.
a(t) = -24; v(0) = 17, s(0) = 0
s(t) =

Answer 1

Answer:

Position function is $s(t)=-12t^2$

Step-by-step explanation:

Given $a(t)=-24$, since velocity is the antiderivative of acceleration, then $v(t)=-24t$.

Also, since position is the antiderivative of velocity, then $s(t)=-12t^2$.