(Solved): The velocity of a container traveling along the axis is shown as a function of time in the figure ...

The velocity of a container traveling along the axis is shown as a function of time in the figure below. If the container is at \( x=0 \) when \( t=0 \), answer the following. (a) What is the object's acceleration (in \( \mathrm{m} / \mathrm{s}^{2} \) ) between 0 and \( 3.00 \mathrm{~s} \) ? (Indicate the direction with the sign of your answer.) \[ \mathrm{m} / \mathrm{s}^{2} \] (b) What is the object's acceleration (in \( \mathrm{m} / \mathrm{s}^{2} \) ) between \( 3.00 \mathrm{~s} \) and \( 8.00 \mathrm{~s} \) ? (Indicate the direction with the sign of your answer.) \( \mathrm{m} / \mathrm{s}^{2} \) (c) What is the object's acceleration (in \( \mathrm{m} / \mathrm{s}^{2} \) ) between \( 14.0 \mathrm{~s} \) and \( 18.0 \mathrm{~s} \) ? (Indicate the direction with the sign of your answer.) \( \mathrm{m} / \mathrm{s}^{2} \) s (smaller value) s (larger value) (e) At what time (in s) is the object farthest from \( x=0 \) ? 5 (f) What is the final position \( x \) (in \( \mathrm{m} \) ) of the object at \( t=18 \mathrm{~s} \) ? ? you can determine the final position. \( m \) (g) Through what total distance (in \( \mathrm{m} \) ) has the object moved between \( t=0 \) and \( t=18 \mathrm{~s} \) ? x displacement, it can only be positive. \( \mathrm{m} \)