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Q.

Suppose in the absence of air resistance Range, maximum height reached, time of ascent and time of flight are :R = OB, H = AC, t1= tOA and t2= tOB. If air resistance (assumed to be acting vertically downward and constant in magnitude) is taken into consideration and the corresponding values are R’, H’, t’1 and t’2 then:

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a

R’t1and t’2>t2

b

R’t1and t’2

c

R’H,t’1>t1and t’2

d

R’t2

answer is D.

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Detailed Solution

During upward journey gravity and air friction both with oppose the motion. Hence,t’1< t1.during ascent , weight of the body and resistance of air R act down ward F=mg+R ma=mg+R ⇒a=g+Rm time of ascent ta v=u+at 0=u-ata ta=ug+Rm tdescent=vg-Rm hence time of ascent in air
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