What Does Constant Acceleration Mean in Mechanics?

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SUMMARY

In mechanics, constant acceleration refers to a situation where the acceleration remains unchanged over time, which does not imply that speed is constant. For example, an object in free fall, like an apple, experiences a constant acceleration due to gravity (g), while its speed increases. The relationship between velocity and acceleration is defined by the equation v = v0 + at, where v0 is the initial velocity, a is the constant acceleration, and t is the time. Therefore, constant acceleration can coexist with changing speed.

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Natasha1
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Just wanted to clarify here:

Sometime in mechanics exercises it is mentioned that the speed should be considered as constant, which in return means that the acceleration a = 0 ms-2.

Now if it is mentioned that the acceleration should be considered as constant what does that mean? That the speed remains constant too?

Please explain simply thanks :-)
 
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Natasha1 said:
Just wanted to clarify here:

Sometime in mechanics exercises it is mentioned that the speed should be considered as constant, which in return means that the acceleration a = 0 ms-2.

Now if it is mentioned that the acceleration should be considered as constant what does that mean? That the speed remains constant too?

Please explain simply thanks :-)
A falling apple undergoes a constant acceleration (i.e g), does that means the apple is falling at a constant speed?
I think you should go over your textbook again, for a constant acceleration, we have:
v = v0 + at, where:
v0 is the initial velocity, a is the acceleration, and t is the time spent.
:)
 
Oops!
If the SPEED is constant, it means that the acceleration is orthogonal to the velocity at all times; you can perfectly well have non-zero acceleration in this case.
 

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