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Mathematics, 18.11.2019 21:31, jslaughter3
Amodel rocket is fired vertically upward from rest. its acceleration for the first three seconds is a(t)=60t, at which time the fuel is exhausted and it becomes a freely "falling" body. fourteen seconds later, the rocket's parachute opens, and the (downward) velocity slows linearly to -18ft/sec in 5 seconds. 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'). sketch the graphs of 's' and 'v'. (b) at what time does the rocket reach its maximum height, and what is that height? (c) at what time does the rocket land? use antiderivatives to solve the problem.
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Amodel rocket is fired vertically upward from rest. its acceleration for the first three seconds is...
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