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when the object reaches maximum height, the velocity of the object is 0 m/s.

It reaches maximum height when the gravity of the body has slowed its velocity to 0 m/s. If there is no gravity and there is no external force acting on it then it will never reach a maximum height as there wont be a negativeaccelerationdemonstrated by newtons first law.

Where there is and you have the objects initial velocity then you can use :

v^2 = u^2+2.a.s

v = Velocity when it reaches Max. height so v = 0

u = Initial Velocity (m/s)

a = Retardation/ Negative Acceleration due to gravity, -9.80m/s ^2

And then the unknown (s) is the displacement, or height above ground, and if everything else is in the right format it should be in metres.

Q: An object is thrown vertically upward when does it reach maximum height?

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