Assume that the period T (in seconds) of a pendulum (the time required for a complete back-and-forth cycle) is T = 3/2ˆšL, where L is the pendulum's length (in meters).
(a) What are the units for the rate of change of T with respect to L? Explain what this rate measures.
(b) Which quantities are represented by the slopes of lines A and B in Figure 10?
(c) Estimate the instantaneous rate of change of T with respect to L when L = 3 m.

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Perlod (s) Length (m)