A point moves in a straight line under the retardation av2 . If the initial velocity is u, the distance covered in 't' seconds is 
a) aut
b) 1/a ln(aut)
c) 1/a ln(1+aut)
d) aln(aut)

Dear Student,

Please find below the solution to the asked query:

According to given information,a=-aV2dVdt=-aV2uVdVV2=-a0t dt-1V+1u=-at-01V=at+1uV=uaut+1So, the distance covered is,dSdt=VdSdt=uaut+10sdS=0tuaut+1dtS-0=u0t1aut+1 dtS=ulnaut+1au0tS=1alnaut+11S=1alnaut+1

Hope this information will clear your doubts about the topic.

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