Answer to Question #175049 in Classical Mechanics for Shabnam

Question

If you plot the one-dimensional displacement of an object as a function of time making an x-t curve, then the acceleration at a point on the curve is 

given by the slope at that point.

given by the curvature at that point.

positive if the curvature is upward.

negative if the curvature is upward.

Answer 1

Answer

The slope of a velocity -time represents the acceleration of the object. Therefore the value of the slope at a particular time represents the acceleration of the object at that instant.

First option is correct.