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8 Nov 2021
Problem 58a
Page 323
Section 4.8: Antiderivatives
Chapter 4: Applications of Differentiation
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8 Nov 2021
Given information
1. A model rocket is fired vertically upward from rest.
2. Its acceleration for the first three seconds is at which time the fuel is exhausted and it become a freely "falling" body.
3. Fourteen seconds later, the rockets parachute opens , and the (downward) velocity slows linearly to in .
4. The rocket then "floats" to the ground at that rate .
Step-by-step explanation
Step 1.
We have
PHASE 1: . Period =
PHASE 2: Period =
When ;