Two-Stage Rocket Problem: A two-stage rocket is fired straight up. After the first stage finishes firing, the rocket slows down until the second stage starts firing. Its altitudes, h(x), in feet above the ground, at each 10 seconds after firing are x h(x)10 175020 306030 351040 370050 423060 5700 a. Show that the h(x)-values have constant third differences. b. What type of function will fit the data exactly? Find its particular equation. c. Plot the graph of h. Based on the graph, does the rocket start coming back down before the second stage fires? How can you tell? d. The first stage of the rocket was fired at time x = 0. How do you explain the fact that the function in part b has a zero at x = 3 seconds? x h(x)

Chapter 6 end: Testrapods I. four-legged; handful of air-breathing organisms that have returned to life in the sea II. hypoosmotic to sea water III.two groups are ectothermic— amphibians and reptiles IV. vertebrates— relative of coelacanth; moved to land 350 may V. adaptations to breathing, movement, and desiccation A. then moved back to the ocean 1. turtles still lay...