The Hubble Space Telescope was deployed on April 24, 1990, by the space shuttle Discovery. A model for the velocity of the shuttle during this mission, from liftoff at t = 0 untill the solid rocket boosters were jettisoned at t = 125 seconds, is given by v(t) = 0.00146t3 – 0.11553t2 + 24.98169t – 21.26872 (in feet per second). Using this model, estimate the absolute maximum and minimum values of acceleration of the shuttle between liftoff and the jettisoning of the boosters.

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The Hubble Space Telescope was deployed on April 24, 1990, by the space shuttle
Discovery. A model for the velocity of the shuttle during this mission, from liftoff at t = 0
untill the solid rocket boosters were jettisoned at t = 125 seconds, is given by
v(t) = 0.00146t3 – 0.11553t2 + 24.98169t – 21.26872
(in feet per second). Using this model, estimate the absolute maximum and minimum
values of acceleration of the shuttle between liftoff and the jettisoning of the boosters.

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