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1. The table below gives the height, h, of a falling object (in feet) at various times, t, [in seconds). t(seconds) 9 0.25 9.5 9.75

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1. The table below gives the height, h, of a falling object (in feet) at various times, t, [in seconds). t(seconds) 9 0.25 9.5 9.75 1.9 1.25 1.59 1.75 2.9 h[feet) 199 99 95 91 94 75 54 51 35 (a) Graph Mt) on the domain 051152 seconds. Use the provided grid. Include properly labeled axes. (b) On the graph1 use a straightedge to draw the secant ne for the [0.5, 1.00] seconds interval. Estimate the object's average velocity for the same interval. Show your work so that it clearly communicates your mathematical thinking. (c) On the graph dIaw the curve's tangent line at t = 1.00 seconds. Label your line to distinguish it from the secant line you drew in part (b). (d) At which time is the absolute value of the object's velocity greater at t = 1.5 sec. or t = 2.5 sec

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