Final answer:
To sketch a velocity vs. time graph, one must consider if the brick's motion has constant velocity or acceleration. A constant velocity is shown by a horizontal line on the graph, while acceleration is represented by a line with slope. Negative direction indicates a line below the time axis.
Step-by-step explanation:
The student's question seems to be asking for a sketch of a velocity vs. time graph (vy-t graph) rather than a displacement vs. time graph. To construct this, one must consider the type of motion the brick (or any object in question) is experiencing. If the motion is with constant velocity, the vy-t graph would show a horizontal line at the value of that velocity. If the motion has constant acceleration (such as free fall), the vy-t graph would be a straight line with a slope equal to the acceleration. If the motion includes periods of constant velocity and acceleration, the graph would show sections of horizontal lines (constant velocity) and sloped lines (constant acceleration).
For example, if we have a book moving in the negative direction with constant velocity, the vy-t graph would show a horizontal line below the time axis because the velocity is negative. If the acceleration is negative, indicating the object is slowing down, the vy-t graph would slope downward. The displacement over time for this motion can be represented by the area under the velocity-time graph.