13. The distance s, in metres, fallen by a skydiver t seconds after jumping (and 160(:1 – 1 + e-5. before the parachute opens) is s = 160(t – 1 + e¯4 a. Determine the velocity, v, at time t. b. Show that acceleration is given by a = 10 - v c. Determine v, = lim v. This is the "terminal" velocity, the constant velocity attained when the air resistance balances the force of gravity. d. At what time is the velocity 95% of the terminal velocity? How far has the skydiver fallen at that time?
13. The distance s, in metres, fallen by a skydiver t seconds after jumping (and 160(:1 – 1 + e-5. before the parachute opens) is s = 160(t – 1 + e¯4 a. Determine the velocity, v, at time t. b. Show that acceleration is given by a = 10 - v c. Determine v, = lim v. This is the "terminal" velocity, the constant velocity attained when the air resistance balances the force of gravity. d. At what time is the velocity 95% of the terminal velocity? How far has the skydiver fallen at that time?
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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