(a) How far does the ball travel during the time interval [2, 2.5]? (Use decimal notation.) distance: (b) Compute the average velocity over the time interval [2, 2.5]. (Use decimal notation.)

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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
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When a ball is dropped from a state of rest at time t = 0, the distance it has travelled after t seconds is s(t) = 4.9t² meters.
(a) How far does the ball travel during the time interval [2, 2.5]?
(Use decimal notation.)
distance:
(b) Compute the average velocity over the time interval [2, 2.5].
(Use decimal notation.)
average velocity:
-
meters
(c) By computing the average velocity over the time intervals [2, 2.1], [2, 2.01], and [2, 2.001], estimate the ball's instantaneous
velocity at t
(Round your answer to one decimal place.)
2.
m/sec
Transcribed Image Text:When a ball is dropped from a state of rest at time t = 0, the distance it has travelled after t seconds is s(t) = 4.9t² meters. (a) How far does the ball travel during the time interval [2, 2.5]? (Use decimal notation.) distance: (b) Compute the average velocity over the time interval [2, 2.5]. (Use decimal notation.) average velocity: - meters (c) By computing the average velocity over the time intervals [2, 2.1], [2, 2.01], and [2, 2.001], estimate the ball's instantaneous velocity at t (Round your answer to one decimal place.) 2. m/sec
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