# Acceleration, Velocity and Time#

For this problem, refer to the following figure.

Top: The x-component of a velocity vs. time graph is shown for an object:

Bottom: Below are possible options of that same object’s “acceleration vs. time” graph:

## Part 1#

Of the listed acceleration vs. time graphs shown in the bottom figure, which is consistent with the velocity vs. time graph shown in the top figure?

• Option A

• Option B

• Option C

• Option D

• Option E

## Part 2#

If the initial position of the object whose velocity vs. time graph is shown in the figure (Top) is $$x_0$$ = 0 $$m$$, at what time does the object return to the position $$x$$ = 0 $$m$$ ?

• Never

• 3.225 $$s$$

• 1.5 $$s$$

• 2 $$s$$

• 2.866 $$s$$