Imagine a skydiver with a mass of m jumping out of an airplane at an altitude of h. As the skydiver descends, they experience two forces: air resistance and gravity. The force of air resistance varies with time and is described by the following function, where t is the time in seconds since t e skydiver has jumped: vec 2 (F)(t) = (0.5t)ha (x) + (0.11 +0.3t) hat(y) a) Create a air free body diagrar for the skydiver at t = 2 seconds. b) What is the net for e acting on the skydiver at t = 2 seconds? c) What i the magnitude of the acceleration of the skydiver at t = 2 seconds?

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Chapter1: Units, Trigonometry. And Vectors
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Imagine a skydiver with a mass of m jumping out of an
airplane at an altitude of h. As the skydiver descends,
they experience two forces: air resistance and gravity.
The force of air resistance varies with time and is
described by the following function, where t is the time
in seconds since t e skydiver has jumped: vec
2
(F)(t) = (0.5t)ha (x) + (0.11 +0.3t)hat(y) a) Create a
air
free body diagrar for the skydiver at t = 2 seconds. b)
-
What is the net for e acting on the skydiver at t = 2
seconds? c) What i the magnitude of the acceleration
of the skydiver at t = 2 seconds?
Imagine a skydiver with a mass of m jumping out of an airplane at an altitude of h. As the
skydiver descends, they experience two forces: air resistance and gravity. The force of air
resistance varies with time and is described by the following function, where t is the time in
seconds since the skydiver has jumped:
Fair (t) = (0.5t)2 + (0.12 + 0.3t)ŷ
a) Create a free-body diagram for the skydiver at t = 2 seconds.
b) What is the net force acting on the skydiver at t = 2 seconds?
c) What is the magnitude of the acceleration of the skydiver at t = 2 seconds?
Transcribed Image Text:Imagine a skydiver with a mass of m jumping out of an airplane at an altitude of h. As the skydiver descends, they experience two forces: air resistance and gravity. The force of air resistance varies with time and is described by the following function, where t is the time in seconds since t e skydiver has jumped: vec 2 (F)(t) = (0.5t)ha (x) + (0.11 +0.3t)hat(y) a) Create a air free body diagrar for the skydiver at t = 2 seconds. b) - What is the net for e acting on the skydiver at t = 2 seconds? c) What i the magnitude of the acceleration of the skydiver at t = 2 seconds? Imagine a skydiver with a mass of m jumping out of an airplane at an altitude of h. As the skydiver descends, they experience two forces: air resistance and gravity. The force of air resistance varies with time and is described by the following function, where t is the time in seconds since the skydiver has jumped: Fair (t) = (0.5t)2 + (0.12 + 0.3t)ŷ a) Create a free-body diagram for the skydiver at t = 2 seconds. b) What is the net force acting on the skydiver at t = 2 seconds? c) What is the magnitude of the acceleration of the skydiver at t = 2 seconds?
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