Jean throws a boomerang whose trajectory is given by the vector function: T(t) = (10+5 cos 20+5 sin (t )+sin) t),6+cos %3D where t is in seconds and the position is in meters. a) Where is John located? b) Calculate the time for the boomerang to return to John.
Jean throws a boomerang whose trajectory is given by the vector function: T(t) = (10+5 cos 20+5 sin (t )+sin) t),6+cos %3D where t is in seconds and the position is in meters. a) Where is John located? b) Calculate the time for the boomerang to return to John.
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Transcribed Image Text:Jean throws a boomerang whose trajectory is given by the vector function:
T(t) = ( 10 +5 cos (t
),6+ cos()
20+5 sin (
COS
+ sin
where t is in seconds and the position is in meters.
a) Where is John located?"
b) Calculate the time for the boomerang to return to John.
c) Calculate the length of the boomerang's path.
d) Determine the equation of the plane II in which the boomerang moves. Justify.
e) At what time will the boomerang be closest to the wall whose equation is : x-y = 1
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