A rocket sled having an initial speed of 118 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 12 mi/h as a function of µ. T = hours

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
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A rocket sled having an initial speed of 118 mi/h is slowed by a
channel of water. Assume that during the braking process, the
acceleration a is given by a(v) =-uv², where v is the velocity
and u is a constant.
Find the time r required to slow the sled to 12 mi/h as a
function of µ.
T =
hours
Transcribed Image Text:A rocket sled having an initial speed of 118 mi/h is slowed by a channel of water. Assume that during the braking process, the acceleration a is given by a(v) =-uv², where v is the velocity and u is a constant. Find the time r required to slow the sled to 12 mi/h as a function of µ. T = hours
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