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).
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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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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