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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.
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