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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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