A stone is tossed into the air from ground level with an initial velocity of 30 m/s. Its height at time t is h(t) = 30t – 4.9t2 m. Compute the stone's average velocity ū in m/s over the time intervals [2, 2.01], [2,2.001], [2,2.0001] and [1.9999, 2], [1.999, 2], [1.99, 2]. (Use decimal notation. Give your answers to three decimal places.) Ū12,2.01] = m/s Ū12,2.001] m/s Ū[2,2.0001] = m/s

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A stone is tossed into the air from ground level with an initial velocity of 30 m/s. Its height at time t is h(t) :
30t – 4.9t2 m.
Compute the stone's average velocity ū in m/s over the time intervals [2, 2.01], [2,2.001], [2,2.0001] and [1.9999, 2], [1.999, 2],
[1.99, 2].
(Use decimal notation. Give your answers to three decimal places.)
Ū12,2.01] =
m/s
Ü12,2.001] =
m/s
U12,2.0001] =
m/s
Transcribed Image Text:A stone is tossed into the air from ground level with an initial velocity of 30 m/s. Its height at time t is h(t) : 30t – 4.9t2 m. Compute the stone's average velocity ū in m/s over the time intervals [2, 2.01], [2,2.001], [2,2.0001] and [1.9999, 2], [1.999, 2], [1.99, 2]. (Use decimal notation. Give your answers to three decimal places.) Ū12,2.01] = m/s Ü12,2.001] = m/s U12,2.0001] = m/s
Ū12,2.0001] =
m/s
Ū[1.9999,2] =
m/s
Ū[1.999,2] =
m/s
Ū1.99,2] =
Ū[1.9,2]
m/s
Estimate the instantaneous velocity at t = 2.
(Use decimal notation. Give your answer to one decimal place.)
Transcribed Image Text:Ū12,2.0001] = m/s Ū[1.9999,2] = m/s Ū[1.999,2] = m/s Ū1.99,2] = Ū[1.9,2] m/s Estimate the instantaneous velocity at t = 2. (Use decimal notation. Give your answer to one decimal place.)
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