If the crate took 8 seconds to go from traveling at 2 meters per second one way to moving at 2 meters per second in the opposite direction, what is its acceleration?

-0.5 ms^-2

Step-by-step explanation:

The initial velocity (u) = 2 ms-1

Final velocity (v) = 2 ms-1

Time taken (t) = 8 seconds

However the question clearly says that the final velocity is in opposite direction to the initial velocity. This implies that we have (-v), final velocity in opposite direction.

We must recall that vectors in opposite direction are commonly shown using a negative sign. Velocity is a vector, hence it possesses both magnitude and direction as we can see from the question.

Hence;

From a = v-u/t

a = (-2) - 2 / 8 = - 0.5 ms^-2

Hence the acceleration of the crate is - 0.5 ms^-2