Position and time interval of a particle

AI Thread Summary
The position of a particle moving along the y-axis is described by the equation y = 0.20m + (8.0m/s) t - (10 m/s²) t². To determine if there is a time interval when the particle is not moving, one must calculate the derivative of the position function with respect to time, dy/dt. Setting this derivative equal to zero identifies the specific instant when the particle is momentarily at rest. The discussion highlights that while the particle does stop at one instant, it is not continuously stationary over any interval. Thus, there is a moment when the particle is not moving, but it does not imply a time interval of rest.
mrssmth
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Homework Statement


The position of a particle moving along the y-axis has a position given by y = 0.20m + (8.0m/s) t - (10 m/s2) t2. is there any time interval during which the particle is not moving?


Homework Equations





The Attempt at a Solution


I said No but I'm not sure why exactly it is never moving.
 
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There is one instant when the particle is not moving. Find dy/dt and equate it to zero to get that instant.
 
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