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Mathematics

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Chapter 4.9 1.A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds is a(t) = 90t, at which time the fuel is exhausted and it becomes a freely "falling" body. Eighteen seconds later, the rocket's parachute opens, and the (downward) velocity slows line-11 ft/s in 5 s. The rocket then "floats" to the ground at that rate. (a) Determine the position function s and the velocity function v (for all times t). v(t) = if 0 ≤ t ≤ 3 if 3 < t ≤ 21 if 21 < t ≤ 26 if t > 26 s(t) = if if if if 0≤t≤3 3 < t ≤ 21 21 < t ≤ 26 t > 26
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