If an object’s average velocity is zero over some time interval, show that its instantaneous velocity must be zero at some time during the interval. It may be useful in your proof to sketch a graph of x versus t and to note that vx(t ) is a continuous function.
Answer to relevant QuestionsIf the velocity of a particle is nonzero, can its acceleration be zero? Explain.Can the equations of kinematics (Eqs. 2.9–2.13) be used in a situation where the acceleration varies in time? Can they be used when the acceleration is zero?What is the compound that results from the chemical reaction illustrated by Fig. 2.2? See Fig. 2.3. All diagrams are included in the solution file.The mineral halite is shown in Fig. 2.3. How many cleavages does it have, and what are their relationships to each other?The 8 common rock-forming minerals are listed in Table 2.3. If the list were of the 10 most common minerals, which two should be included?
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