Final answer:
To find local minima and maxima in a velocity function v(t), identify points where the derivative changes sign. The corresponding maximum and minimum velocities are found by evaluating v(t) at these times.
Step-by-step explanation:
To determine the times at which a function v(t) representing velocity has a local minimum or maximum, we would typically look for the points where its derivative, which gives the acceleration, is zero and changes sign. This is a common procedure in physics, particularly in dynamics where velocity and its changes are frequently analyzed.
However, without the specific function v(t) or the values from the question, we can't perform the actual computation. From the question, it appears you are referencing times 3.7 seconds and 1.6 seconds, but without the context or the actual functions (Equations 3.4 & 3.7), no definitive answer for the maximum and minimum velocities can be provided. Instead, let's talk generally about how you would find these.
If you have a velocity vs. time graph, local minima and maxima in velocity occur where the graph has peaks (maxima) and troughs (minima). To find the corresponding velocities, you would evaluate the velocity function v(t) at the identified times.