2.1 Limits, Rates of Change, and Tangent Lines 1. A stone is tossed vertically into the air from ground level at time t=0 with an initial velocity of 15 meters / second. The height of the stone after t seconds is s(t) = -4.9t² + 15t m. Determine the average velocity over the given time intervals and then estimate the instantaneous velocity at t = 1 s. Time intervals: [0, 1], [0.5, 1], [0.9, 1], [0.99, 1], [0.999, 1], [1.1, 1], [1.01, 1], [1.001, 1].

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter10: Radical Functions And Equations
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2.1 - Limits, Rates of Change, and Tangent Lines
1. A stone is tossed vertically into the air from ground level at time t = 0 with
an initial velocity of 15 meters / second. The height of the stone after t
seconds is s(t) = -4.9t² + 15t m. Determine the average velocity over the
given time intervals and then estimate the instantaneous velocity at t = 1 s.
Time intervals: [0, 1], [0.5, 1], [0.9, 1], [0.99, 1], [0.999, 1], [1.1, 1], [1.01, 1],
[1.001, 1].
Transcribed Image Text:2.1 - Limits, Rates of Change, and Tangent Lines 1. A stone is tossed vertically into the air from ground level at time t = 0 with an initial velocity of 15 meters / second. The height of the stone after t seconds is s(t) = -4.9t² + 15t m. Determine the average velocity over the given time intervals and then estimate the instantaneous velocity at t = 1 s. Time intervals: [0, 1], [0.5, 1], [0.9, 1], [0.99, 1], [0.999, 1], [1.1, 1], [1.01, 1], [1.001, 1].
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