graphing calculator is recommended. sky diver jumps from a reasonable height above the ground. The air resistance she experiences is proportional to her velocity, and the constant of proportionality 0.17. It can be shown that the downward velocity of the sky diver at time t is given by v(t) = 150(1e-0.17t) here t is measured in seconds (s) and v(t) is measured in feet per second (ft/s). (a) Find the initial velocity of the sky diver. ft/s (b) Find the velocity after 3 s and after 13 s. (Round your answers to one decimal place.) after 3 s ft/s ft/s after 13 s (c) Draw a graph of the velocity function v(t).
graphing calculator is recommended. sky diver jumps from a reasonable height above the ground. The air resistance she experiences is proportional to her velocity, and the constant of proportionality 0.17. It can be shown that the downward velocity of the sky diver at time t is given by v(t) = 150(1e-0.17t) here t is measured in seconds (s) and v(t) is measured in feet per second (ft/s). (a) Find the initial velocity of the sky diver. ft/s (b) Find the velocity after 3 s and after 13 s. (Round your answers to one decimal place.) after 3 s ft/s ft/s after 13 s (c) Draw a graph of the velocity function v(t).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Please see attached.
From the graph in part find the terminal velocity of this sky diver. (Round your answer to the nearest whole number.)
answer should be in ft/s
Transcribed Image Text:A graphing calculator is recommended.
A sky diver jumps from a reasonable height above the ground. The air resistance she experiences is proportional to her velocity, and the constant of proportionality
is 0.17. It can be shown that the downward velocity of the sky diver at time t is given by
v(t) = 150(1e-0.17ty
where t is measured in seconds (s) and v(t) is measured in feet per second (ft/s).
(a) Find the initial velocity of the sky diver.
ft/s
(b) Find the velocity after 3 s and after 13 s. (Round your answers to one decimal place.)
after 3 s
ft/s
ft/s
after 13 s
(c) Draw a graph of the velocity function v(t).
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