Final answer:
To determine instantaneous velocity at a specific time, we differentiate the position function with respect to time and evaluate it at that time, but the exact velocity function is needed to find the answer. Average velocity is calculated using the change in position over the time interval.
Step-by-step explanation:
To find the instantaneous velocity at t = 3.0 s, we need to take the derivative of the position function with respect to time. Given the position function in one of the examples as x(t) = 3.0t − 3t² m, the first step is to differentiate this to get the velocity function. We are not provided with the complete equation for velocity, but based on the example provided, a similar process would involve calculating the derivative, then evaluating it at t = 3.0 s.
In the context of this question, since we do not have the specific velocity function, we cannot calculate the exact instantaneous velocity at t = 3.0 s. Normally, you would need to substitute t = 3.0 s into the velocity function and solve.
For the calculation of the average velocity between 1.0 s and 3.0 s, using the position function x(t), you would find the positions at t = 1.0 s and t = 3.0 s, then use the formula for average velocity, which is the change in position over the change in time.