A cart is constrained to move along a straight line. A varying net force along the direction of motion is exerted on the cart. The cart's velocity $\displaystyle {v}$ as a funciton of time $\displaystyle {t}$ is shown in the graph above. The five labeled points divide the graph into four sections. Use the graph to answer the following questions.

Rank the magnitude of the average acceleration during the four sections of the graph. 1 represents the highest acceleration, while 4 represents the lowest accleration magnitude.

$\displaystyle {a}_{{{A}{B}}}$

$\displaystyle {a}_{{{B}{C}}}$

$\displaystyle {a}_{{{C}{D}}}$

$\displaystyle {a}_{{{D}{E}}}$

For which section does the cart move the greatest distance?