A body is thrown vertically upwards. If air resistance is to be taken into account, then the time during which the body rises is
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a
Equal to the time of fall
b
Less than the time of fall
c
Greater than the time of fall
d
Twice the time of fall
answer is B.
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Detailed Solution
Let the initial velocity of ball be u.Time of rise t1 = ug+a and height reached h =u22(g+a)Time of fall t2 is given by12(g-a)t22 = u22(g+a)⇒t2 = u(g+a)(g-a) = u(g+a)g+ag-a∴ t2 > t1 because 1g+a < 1g-a