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if an object is projected under gravity but in air resistance then which time will be greater ? upward journey time or downward journey time? |
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Answer» Answer: Explanation: TIME of Ascent: The time taken by body thrown up to reach maximum height H is called as time of ascent. Let t₁ be time of ascent. at maximim height, its velocity is zero, V=0 hence, V=u-gt O=u-gt₁ t1=u/g (1) Time of descent: after reaching the maximum height, the body begins to travel downwards and reaches the ground. The time taken to by a freely falling body to touch the ground is called time of descent. Initial velocity for downward JOURNEY is zero u= 0 let t₂ be time of descent. Initial velocity for downward journey is zero 9 u= 0 let t₂ be time of descent. s=ut+1/2 gt² h=0+1/2gt₂² t2=√2h/g but, h=u²/2g so, we get t₂=√2u²/2g 65 --(2) from equation 1 and 2 we can say the time of ascent is equal to time descent in the CASE of bodies moving under gravity. |
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