We want to know how far this box will move after the force stops. This is called the displacement and it can be calculated using:
\(Displacement = Final\ Velocity \times Time\)
We do not know the final velocity of the box however this can be calculated using:
\(Final\ Velocity = Initital\ Velocity + (Acceleration \times Time)\)
When we put our values into this equation we get:
\(Final\ Velocity = 0 + (2m/s^2 \times 4.0s)\)
\(Final\ Velocity = 8m/s\)
We can put this value into the Displacement equation to get
\(Displacement = 8m/s \times 4s\)
\(Displacement = 32m\)
This means that the total difference in space between where the box stopped receiving a force and came to halt is 32m. Presuming the floor was completely flat, then the only way the box could move is forwards. This means that there is a 32m movement forwards between the two places which means the box took 32m to come to rest.
