(a) Use a graphing utility to generate the trajectory of a paper airplane whose equations of motion for t ≥ 0 are x = t − 2 sin t , y = 3 − 2 cos t (b) Assuming that the plane flies in a room in which the floor is at y = 0 , explain why the plane will not crash into the floor. [For simplicity, ignore the physical size of the plane by treating it as a particle.] (c) How high must the ceiling be to ensure that the plane does not touch or crash into it?
(a) Use a graphing utility to generate the trajectory of a paper airplane whose equations of motion for t ≥ 0 are x = t − 2 sin t , y = 3 − 2 cos t (b) Assuming that the plane flies in a room in which the floor is at y = 0 , explain why the plane will not crash into the floor. [For simplicity, ignore the physical size of the plane by treating it as a particle.] (c) How high must the ceiling be to ensure that the plane does not touch or crash into it?
(a) Use a graphing utility to generate the trajectory of a paper airplane whose equations of motion for
t
≥
0
are
x
=
t
−
2
sin
t
,
y
=
3
−
2
cos
t
(b) Assuming that the plane flies in a room in which the floor is at
y
=
0
,
explain why the plane will not crash into the floor. [For simplicity, ignore the physical size of the plane by treating it as a particle.]
(c) How high must the ceiling be to ensure that the plane does not touch or crash into it?
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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