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Q.

A body starts from rest and moves with a uniform acceleration of  20 m/s2 in the first 10s. During the next 10s it moves with the maximum velocity attained uniformly. The total displacement of the body is

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answer is 3000 .

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Detailed Solution

Given that  u=0 a=20 m/s2t=10 SStep-IFrom kinematic equation of motion  S=ut+12at2⇒S=0+12×20×100 =1000 m.............(1)   The maximum velocity attained isV=dsdtC=  =0+20×10=200 m/s  Step-II∴ During the next  10S, the displacement covered with uniform velocity of 200 m/s is   S=Vt  =200×10=2000m.........(2)∴ The total displacement of the body covered   S=1000+2000  =3000 m
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