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Module 9 - Answers
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Lesson 1
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Answer 1
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9.1.1
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The average velocity from t = 0 to t = 0.16 is approximately -0.931 m/s.
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The average velocity from t = 0.16 to t = 0.28 is approximately -2.183 m/s.
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Answer 2
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9.1.2
The book is falling faster during the time interval from t = 0.16 to t = 0.28.
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Lesson 2
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Answer 1
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9.2.1
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Data Points
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Average Velocity
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(0.16, 0.716) to (0.26, 0.506)
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-2.1 m/s
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(0.16, 0.716) to (0.22, 0.600)
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-1.933 m/s
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(0.16, 0.716) to (0.18, 0.681)
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-1.75 m/s
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Answer 2
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9.2.2 -1.75 m/s is the best approximation of the instantaneous velocity at t = 0.16 seconds because it is based on a shorter time interval.
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Answer 3
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9.2.3 The average velocities are -1.654463 m/s, -1.6504103 m/s, and -1.65000503 m/s, respectively.
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Lesson 3
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Answer 1
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9.3.1 The average velocities are approximately -1.6455 m/s, -1.6495 m/s, and -1.6499 m/s, respectively.
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Answer 2
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9.3.2 The symmetric difference quotient for the given interval is
, which is the same value as found before.
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Answer 3
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9.3.3 The left hand limit is 5. The right hand limit is 9.
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Self Test
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Answer 1
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0.59375 m/s
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Answer 2
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Answer 3
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y = -4.593x2 + 3.614x + 0.305
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Answer 4
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2.139647 m/s
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Answer 5
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2.14424 m/s
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Answer 6
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2.14424 m/s
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