Answer to Question #272836 in Calculus for andrei

Question

An object moves along a straight line so that after t minutes, its distance from its starting point is𝑠(𝑡)=2𝑡3+4𝑡2+6meters .

At what speed is the object moving at the end of 3minutes?

Answer 1

speed:

$v(t)=s'(t)=6t^2+8t$

speed is the object moving at the end of 3 minutes:

$v(3)=6\cdot3^2+8\cdot3=78$ m/s