Answer
x = 54m
Work Step by Step
The position is given by $ x = 12t^2 - 2t^3 $ where x is in meters and t is in seconds. The question asks for the position at t = 3s, therefore we need to find x(3) or plug in t = 3 into the equation.
This gives us $ x = 12*(3)^2 - 2*(3)^3 = 12 * 9 - 2*(27) = 108 - 54 = 54 $ Therefore x = 54m
