If the velocity of a particle is increasing at a constant rate its mean and inst
ID: 1688093 • Letter: I
Question
If the velocity of a particle is increasing at a constant rate its mean and instantaneous acceleration are the same.True False Knowing the position and velocity of a particle allows its future position to be predicted if its acceleration is constant and known.
True False The slope of the displacement time graph is the instantaneous velocity.
True False Instaneous acceleration is the derivative of the velocity time function.
True False Average velocity and instantanous velocity are always the same.
Explanation / Answer
(a) If the velocity of a particle is increasing at a constant rate its mean and instantaneous acceleration are the same. [ TRUE] - We know that the average and instantaneous accelerations are equal when acceleration is constant (b) Knowing the position and velocity of a particle allows its future position to be predicted if its acceleration is constant and known. [ FALSE] - No it is not possible. (c) The slope of the displacement time graph is the instantaneous velocity. [ TRUE] (d) Instantaneous acceleration is the derivative of the velocity time function. [TRUE] (e) Average velocity and instantaneous velocity are always the same. [FALSE] # Average velocity is velocity measured over a non-zero time interval. # Instantaneous velocity is the limit of average velocity as the time interval approaches zero.