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Q.

Two cars leave the same point with 1 minute gap and move with an acceleration of0.2ms2 . The time after the departure of the second car at which the distance between them becomes  three times of  its initial value is                                       

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a

32 minute

b

2 minute

c

12 minute

d

1 minute

answer is C.

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Detailed Solution

a=0.2ms2,S=12at2              

          ==12×0.2×(60)2=12×210×60×60=360m

‘S’ is the distance travelled by the first car in 1min

S2S1=3S

12×(0.2)×(t+60)212(0.2)t2=3×360

Where S2 is the distance travelled by the first car and S1 is the distance travelled by the second car

12[0.20.1][(t+60)2t2]=1080

0.1[t2+3600+120tt2]=1080

0.1(3600+120t)=1080

360+12t=1080

12t=1080360=720

12t=720

t=72060S12        

t=1min

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