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Classical mechanics (view source)
Revision as of 21:20, September 8, 2020
, 21:20, September 8, 2020new link
Kinematics is the subfield of mechanics that describes motion, without taking into account its cause. The relevant concepts in kinematics are position, [[velocity]] and [[acceleration]].
Kinematics is the subfield of mechanics that describes motion, without taking into account its cause. The relevant concepts in kinematics are position, [[velocity]] and [[acceleration]].
The position of an object is usually described by a [[vector]], with respect to some reference point. That position is described as a vector means that we need several numbers to specify it. For example, we can say that object A is three meters to the right and four meters to the front from object B. Note that a single number is not enough to specify its position. We could say that object A is 5 meters from object B, but in this case we need to specify its direction, so, in any case, we need two numbers.
The position of an object is usually described by a [[vector]], with respect to some reference point. That position is described as a vector means that we need several numbers to specify it. For example, we can say that object A is three meters to the right and four meters to the front from object B. Note that a single number is not enough to specify its position. We could say that object A is 5 meters from object B, but in this case we need to specify its direction, so, in any case, we need two numbers.
Velocity is measures how fast position changes. As such, it is the change in position with respect to time. Velocity is also a vector. Mathematically, it is the [[derivative]] of position with respect to [[time]]:
Velocity is measures how fast position changes. As such, it is the change in position with respect to time. Velocity is also a vector. Mathematically, it is the [[Derivative (calculus)|derivative]] of position with respect to [[time]]:
: <math>v=\frac{dx}{dt}</math>
: <math>v=\frac{dx}{dt}</math>
If the velocity is constant, the distance traveled in a time t is:
If the velocity is constant, the distance traveled in a time t is: