A stone is tossed into the air from ground level with an initial velocity of 35 m/s. Its height at time t is h(t) = 35t – 4.9t² m. Compute the stone's average velocity ū in m/s over the time intervals [1, 1.01], [1, 1.001], [1, 1.0001] and [0.9999, 1], [0.999, 1], [0.99, 1]. (Use decimal notation. Give your answers to three decimal places.) U1,1.01] = m/s Ü[1,1.001] = m/s D[1,1.0001] = m/s Ūj0.9999,1] = m/s U10.999,1] = m/s U10.99.1] = m/s Estimate the instantaneous velocity at t = 1. (Use decimal notation. Give your answer to one decimal place.) U = m/s
A stone is tossed into the air from ground level with an initial velocity of 35 m/s. Its height at time t is h(t) = 35t – 4.9t² m. Compute the stone's average velocity ū in m/s over the time intervals [1, 1.01], [1, 1.001], [1, 1.0001] and [0.9999, 1], [0.999, 1], [0.99, 1]. (Use decimal notation. Give your answers to three decimal places.) U1,1.01] = m/s Ü[1,1.001] = m/s D[1,1.0001] = m/s Ūj0.9999,1] = m/s U10.999,1] = m/s U10.99.1] = m/s Estimate the instantaneous velocity at t = 1. (Use decimal notation. Give your answer to one decimal place.) U = m/s
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![A stone is tossed into the air from ground level with an initial velocity of 35 m/s. Its height at time t is h(t) = 35t – 4.9t2 m.
Compute the stone's average velocity ī in m/s over the time intervals [1, 1.01], [1, 1.001], [1, 1.0001] and [0.9999, 1], [0.999, 1],
[0.99, 1].
(Use decimal notation. Give your answers to three decimal places.)
Ü1,1.01] =
m/s
Ü[1,1.001] =
m/s
Ū[1,1.0001] =
m/s
Üj0.9999.1] =
m/s
U[0.999,1] =
m/s
Uj0.99,1] =
m/s
Estimate the instantaneous velocity at t = 1.
(Use decimal notation. Give your answer to one decimal place.)
U =
m/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc06466e0-b6af-451e-ad3a-a7add978ace4%2Fb761db70-1314-47c4-9af7-40b25cf0adaf%2Fbfv0evw_processed.png&w=3840&q=75)
Transcribed Image Text:A stone is tossed into the air from ground level with an initial velocity of 35 m/s. Its height at time t is h(t) = 35t – 4.9t2 m.
Compute the stone's average velocity ī in m/s over the time intervals [1, 1.01], [1, 1.001], [1, 1.0001] and [0.9999, 1], [0.999, 1],
[0.99, 1].
(Use decimal notation. Give your answers to three decimal places.)
Ü1,1.01] =
m/s
Ü[1,1.001] =
m/s
Ū[1,1.0001] =
m/s
Üj0.9999.1] =
m/s
U[0.999,1] =
m/s
Uj0.99,1] =
m/s
Estimate the instantaneous velocity at t = 1.
(Use decimal notation. Give your answer to one decimal place.)
U =
m/s
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