What kind of motion does a landing plane represent
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answer: When the flying object returns to water, the process is called alighting, although it is commonly called "landing", "touchdown" or "splashdown" as well. A normal aircraft flight would include several parts of flight including taxi, takeoff, climb, cruise, descent and landing.
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4. MOTION IN A PLANE
4.1. Position
In Chapter 2 we discussed the motion of an object in one dimension. Its position was unambiguously defined by its distance (positive or negative) from a user defined origin. The motion of this object could be described in terms of scalars. The discussion about motion in two or three dimensions is more complicated. To answer the question "where am I ?" in two dimensions, one needs to specify two coordinates. In three dimensions one needs to specify three coordinates. To specify the position of an object the concept of the position vector needs to be introduced. The position vector is defined as a vector that starts at the (user defined) origin and ends at the current position of the object (see Figure 4.1). In general, the position vector will be time dependent (t). Using the techniques developed in Chapter 3, we can write the position vector in terms of its components:
Figure 4.1. Definition of Position Vector.
Note: In Chapter 2 we got used to plotting the position of the object, its velocity and its acceleration as function of time. In two or three dimensions, this is much more difficult, and most graphs will show for example the trajectory of the object (without providing direct information concerning the time).
4.2. Velocity
The velocity of an object in two or three dimensions is defined analogously to its definition in Chapter 2:
This equation shows that the velocity of an object in two or three dimensions is also a vector. Again, the velocity vector can be decomposed into its three components:
The components of (t) can be calculated from the corresponding components of the position vector (t):
We conclude:
4.1. Position
In Chapter 2 we discussed the motion of an object in one dimension. Its position was unambiguously defined by its distance (positive or negative) from a user defined origin. The motion of this object could be described in terms of scalars. The discussion about motion in two or three dimensions is more complicated. To answer the question "where am I ?" in two dimensions, one needs to specify two coordinates. In three dimensions one needs to specify three coordinates. To specify the position of an object the concept of the position vector needs to be introduced. The position vector is defined as a vector that starts at the (user defined) origin and ends at the current position of the object (see Figure 4.1). In general, the position vector will be time dependent (t). Using the techniques developed in Chapter 3, we can write the position vector in terms of its components:
Figure 4.1. Definition of Position Vector.
Note: In Chapter 2 we got used to plotting the position of the object, its velocity and its acceleration as function of time. In two or three dimensions, this is much more difficult, and most graphs will show for example the trajectory of the object (without providing direct information concerning the time).
4.2. Velocity
The velocity of an object in two or three dimensions is defined analogously to its definition in Chapter 2:
This equation shows that the velocity of an object in two or three dimensions is also a vector. Again, the velocity vector can be decomposed into its three components:
The components of (t) can be calculated from the corresponding components of the position vector (t):
We conclude:
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