The flight path of the Rigelian hummingturtle as it searches for food has been experimentally recorded as (in two-dimensional polar coordinates): 6 = 40 7 r = R(1-e-¹/T) where R, T, and do are constants. (a) Find the velocity vector (t) in polar coordinates. (b) Find the speed u(t)= (t)| (the speed is the magnitude of the velocity vector). (e) What is the final speed of the hummingturtle for t»T? (d) Make a qualitatively correct sketch of the path of the hummingturtle from t=0 to t at least 47.
The flight path of the Rigelian hummingturtle as it searches for food has been experimentally recorded as (in two-dimensional polar coordinates): 6 = 40 7 r = R(1-e-¹/T) where R, T, and do are constants. (a) Find the velocity vector (t) in polar coordinates. (b) Find the speed u(t)= (t)| (the speed is the magnitude of the velocity vector). (e) What is the final speed of the hummingturtle for t»T? (d) Make a qualitatively correct sketch of the path of the hummingturtle from t=0 to t at least 47.
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Transcribed Image Text:The flight path of the Rigelian hummingturtle as it searches for food has
been experimentally recorded as (in two-dimensional polar coordinates):
T= R(1-e-¹/T)
6=407
where R, T, and do are constants.
(a) Find the velocity vector (t) in polar coordinates.
(b) Find the speed u(t)= (t)| (the speed is the magnitude of the
velocity vector).
(c) What is the final speed of the hummingturtle for t»T?
(d) Make a qualitatively correct sketch of the path of the hummingturtle
from t=0 to t at least 47.
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