Timeline for Does it take longer for the ball to rise to its maximum height or to fall from its maximum height back to the height from which it was thrown?

8 events

when toggle format	what		by	license	comment
Sep 17 at 20:13	comment	added	akhmeteli		@AndrewSteane : Yes, but the ball goes down AFTER it goes up.
Sep 17 at 14:37	comment	added	Amit Verma		@akhmeteli ok got it
Sep 17 at 14:36	comment	added	akhmeteli		@AmitVerma : but it is directed against the velocity in both cases and therefore performs negative work, reducing the total mechanical energy. The ball goes down AFTERr it goes up, so the total energy is less on the way down.
Sep 17 at 14:01	comment	added	Amit Verma		but air drag also acts on the ball while going up equally?
Sep 17 at 13:46	comment	added	Andrew Steane		But surely this argument applies equally on the way up as on the way down.
Sep 17 at 13:43	comment	added	akhmeteli		@AndrewSteane : The only forces acting on the ball are gravity and air drag. Gravity is conservative, so it does not change the total energy. Air drag is nonconservative and performs negative work, so it reduces total mechanical energy of the ball. Thus, the total mechanical energy at the same height is lower on the way down than on the way up, whereas the potential energy is the same. So the kinetic energy is lower at the same height on the way down than on the way up.
Sep 17 at 8:06	comment	added	Andrew Steane		How do you know the kinetic energy is smaller on its way down at any given height?
Sep 16 at 8:16	history	answered	akhmeteli	CC BY-SA 4.0