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 [3, 3.5]? (Use decimal notation.) distance: meters (b) Compute the average velocity over the time interval [3, 3.5]. (Use decimal notation.) average velocity: m/sec (c) By computing the average velocity over the time intervals [3, 3.1], [3,3.01], and [3, 3.001], estimate the ball's instantaneous velocity at t = 3. (Round your answer to one decimal place.) instantaneous velocity: m/sec

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Chapter1: Units, Trigonometry. And Vectors
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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) = 4.9t? meters.
(a) How far does the ball travel during the time interval [3, 3.5]?
(Use decimal notation.)
distance:
meters
(b) Compute the average velocity over the time interval [3,3.5].
(Use decimal notation.)
average velocity:
m/sec
(c) By computing the average velocity over the time intervals [3,3.1], [3, 3.01], and [3, 3.001], estimate the ball's instantaneous
velocity at t = 3.
(Round your answer to one decimal place.)
instantaneous velocity:
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) = 4.9t? meters. (a) How far does the ball travel during the time interval [3, 3.5]? (Use decimal notation.) distance: meters (b) Compute the average velocity over the time interval [3,3.5]. (Use decimal notation.) average velocity: m/sec (c) By computing the average velocity over the time intervals [3,3.1], [3, 3.01], and [3, 3.001], estimate the ball's instantaneous velocity at t = 3. (Round your answer to one decimal place.) instantaneous velocity: m/sec
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