contestada

which statement is true about acceleration?

A. it is the rate of change of speed per unit time
B. it is the rate of change of displacement per unit time
C. it is the rate of change of velocity per unit time
D. it is the rate of change of position per unit time

Respuesta :

AL2006
Acceleration is always the rate of change of velocity per unit time.  ( C. )

Notice that a change of direction is a change of velocity,
even if speed doesn't change.

This means that acceleration can take place even if speed isn't changing.

Option C is correct. It is the rate of change of velocity w.r.t. time.

What is acceleration?

Acceleration is defined as the derivative of velocity w.r.t. time i.e. a = dv/dt.

Acceleration is a vector quantity. For a particle moving on a curved path with uniform speed, the acceleration of the particle is not zero, in general. The rate of change of speed is a scalar quantity. So, option A is not correct.

The rate of change of displacement is defined to be the velocity. So, option B is incorrect.

According to the definition given above, the rate of change of velocity w.r.t. time is acceleration. So, option C is correct.

The rate of change of position is defined to be the velocity. So, option D is incorrect.

The rate of change of velocity is acceleration.

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