The velocity of a falling object satisfies the following initial value problem dv = 9.8 – v, v(0) = 0. dt 1 Find the time that must elapse for the object to reach 95% of its limiting velocity. Round your answer to two decimal places. t = i seconds.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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The velocity of a falling object satisfies the following initial value problem
dv
1
- ¬v, v(0) = 0.
9.8
dt
Find the time that must elapse for the object to reach 95% of its limiting velocity.
Round your answer to two decimal places.
t 3=
seconds.
Transcribed Image Text:The velocity of a falling object satisfies the following initial value problem dv 1 - ¬v, v(0) = 0. 9.8 dt Find the time that must elapse for the object to reach 95% of its limiting velocity. Round your answer to two decimal places. t 3= seconds.
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