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Question

Solve this:
A body is thrown vertically upwards. If constant air resistance is to be taken into account, then the time
during which the body rises is t1 and the time of fall is t2 then
(1) ​t1=​t2

(2) ​ ​t1< t2

(3) ​ ​t1 > ​t2
(4) ​ ​t1=​2t2

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Solution

Dear Student ,
Let F be the force of air resistance .For upward motion F acts downwards .Let a1=Retardation .mg+F=ma1For the downwards motion F acts upwards .Let a2 be the downwards acceleration .mg-F=ma2a2=g-FmThus , a1>a2Therefore , t1<t2Because , h=12a1t12 and h=12a2t22


Regards

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