A rocket sled having an initial speed of 153 mi/h is slowed by a channel of water. Assume that during the braking process, the acceleration a is given by a(v) = -µv², where v is the velocity and u is a constant. Find the time T required to slow the sled to 19 mi/h as a function of u. T= hours

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
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A rocket sled having an initial speed of 153 mi/h is slowed by a
channel of water. Assume that during the braking process, the
acceleration a is given by a(v) = -pv², where v is the velocity
and u is a constant.
Find the time T required to slow the sled to 19 mi/h as a
function of
H.
T =
hours
Transcribed Image Text:A rocket sled having an initial speed of 153 mi/h is slowed by a channel of water. Assume that during the braking process, the acceleration a is given by a(v) = -pv², where v is the velocity and u is a constant. Find the time T required to slow the sled to 19 mi/h as a function of H. T = hours
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