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"Deceleration" is a decrease in speed, however you are still going in the SAME direction so it is POSITIVE. "Retardation" is going in the OPPOSITE direction, therefore it is NEGATIVE.
Retardation is the application of a force that produces negative accelleration. Synonyms would be braking, decelleration, damping, etc. Gravitational force operates downward (in a negative direction) so, in most frames of reference, gravity is a retarding force.
Retardation or deceleration is negative accelaration formula for finding retardation is same as that of accelaration: v-u/t, where v is the final velocity, u is the initial velocity and t is the time taken. eg- a bus is travelling at 20 m/s. Brakes are applied to stop the bus. The total time taken by the bus to stop is 2 s. Find its retardation. ans- v=0; u=20; t=2 accelaration= 0-20/2 a= -10 m's^2 retardation= 10 m/s^2 (because retardation is negative accelaration)
If the absolute value of the negative is bigger than that of the positive, then the answer is negative. If the absolute value of the negative is the same, then zero. If the absolute value of the negative is smaller, then positive. Absolute value is the value ignoring the sign.
Oh, dude, so like, when something is slowing down, it's actually experiencing negative acceleration. It's like the opposite of when you speed up, you know? So, they call it retardation because it's like saying, "Hey, slow down, negative acceleration coming through!" It's just a fancy way of saying things are getting slower, man.