a stone thrown vertically upward with initial velocity u reaches a height h before comming down show that the time taken to go up is same as the time taken come down
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Explanation:
We have v = u + at and s = ut + -at² at
..s= (v-at)t + at² + 1at² S= 1 2
S = ut -
2
As the stone moves upward from A → B S = AB = h, t = t₁, a = - g (retardation)
u = u and v=0
h = 0 -
h = 2 -gt₁
As the stone moves downward from B→ A
t = t₂, u = 0, s = h and a = g
1 22 h = -gt/2/2
t² = 1²2
t₁ = t₂
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