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We are exposed to a wide variety of external motion and movement on a daily basis. From driving a car to catching an elevator, our bodies are repeatedly exposed to external forces acting upon us, leading to acceleration.
We are all familiar with the terms displacement, velocity and acceleration. We experience velocity when we move and acceleration when we change the velocity at which we move. Our body does not feel velocity, but only the change of velocity i.e. acceleration, brought about by the force exerted by an object on our body. For example, a passenger in a constantly accelerating car will feel a constant force from the seat on his or her body
1st derivative is velocity
Velocity is defined as the rate of change of position or the rate of displacement. It is a vector physical quantity, both speed and direction are required to define it. In the SI (metric) system, it is measured in meters per second (m/s). The scalar absolute value (magnitude) of velocity is speed. For example, "5 metres per second" is a speed and not a vector, whereas "5 metres per second east" is a vector. The average velocity (v) of an object moving through a displacement () in a straight line during a time interval () is described by the formula:
Simply put, velocity is change in position per unit of time.
Most piano-style music keyboards are approximately velocity-sensitive, within a certain specific, though limited range of key travel, i.e. to a first-order approximation, a note is made louder by hitting a key faster. Most electronic music keyboards are also velocity sensitive, and measure the time interval between switch contact closures at two different positions of key travel on each key.
2nd derivative is acceleration
Acceleration is defined as the rate of change of velocity. It is thus a vector quantity with dimension length/timeÂ². In SI units, acceleration is measured in metres/secondÂ² (mÂ·s-Â²). The term "acceleration" generally refers to the change in instantaneous velocity.
3rd derivative is jerk
Jerk, (sometimes called jolt in British English, but less commonly so, due to possible confusion with use of the word to also mean electric shock), surge or lurch, is the rate of change of acceleration; more precisely, the derivative of acceleration with respect to time, the second derivative of velocity, or the third derivative of displacement
Geekdawn has brought this concept in a humorous way into a T-Shirt which is Don't be a Jerk
You can buy this T Shirt on Geekdawn.com
This Don't be a Jerk T Shirt was one of the favourite tees of actor Late Sushant Singh Rajput as well.
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