Derive expression for a time taken by a body to reach maximum height
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If a body is thrown vertically upwards with initial velocity u to a height h then there will be retardation (a=-g). So we have equations of motion as:
v=u-gt ………(1)
h=ut - 1/2gt^2 …….(2)
v^2-u^2=-2gh…….(3)
At maximum height v=0 so
From (3) we get
-u^2=-2gh
h=u^2/2g
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