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Physics Exam Review

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Page 43, #75. A rocket rises vertically, from rest, with an acceleration of 3.2 m/s2 until it runs out of fuel at an altitude of 1200 m. After this point, its acceleration is that of gravity, downward. a. What is the velocity of the rocket when it runs out of fuel? 2a?d = V22 ? V12 (2)(3.2)(1200) = (x2)(02) 7680 = x2 ?7680 = ?x2 x = 87.6 m/s b. How long does it take to reach that point? ?t = ?v/a 87.6/3.2 = 27.4 s c. What maximum altitude does the rocket reach? T = 87.6/9.8 = 8.9 s 27.4 s to reach 1200 m, 8.9 s the rest of the way ?d = V1?t + ? a?t2 (from a certain speed) (-?)(9.8 (gravity took over))(8.92) + (87.6)(8.9) = 392 m + 1200m = 1592 m d. How much time (total) does it take the rocket to reach max altitude? 27.4 s + 8.9 s = 36.3 s total

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