The table gives the position s(t)of an object moving along a line at time t, over a two-second interval. Find the average velocity of the object over the following intervals. <IMAGE>


c. $[0, 1]$

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1. Identify the formula for average velocity over an interval [a, b], which is given by the change in position divided by the change in time: \( v_{avg} = \frac{s(b) - s(a)}{b - a} \).
2. Determine the values of \( s(0) \) and \( s(1) \) from the table provided. These represent the position of the object at time \( t = 0 \) and \( t = 1 \) respectively.
3. Substitute the values of \( s(0) \) and \( s(1) \) into the average velocity formula: \( v_{avg} = \frac{s(1) - s(0)}{1 - 0} \).
4. Simplify the expression by calculating the difference \( s(1) - s(0) \) to find the change in position.
5. Divide the change in position by the change in time (which is 1 second in this case) to find the average velocity over the interval [0, 1].