Q.

A particle moves in a straight line with a velocity given by dxdt=x+1 (x is the distance travelled). The time taken by a particle to traverse a distance of 99 metres is

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a

1/2 log10e

b

2 loge10

c

log10e

d

2 log10e

answer is B.

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Detailed Solution

dxdy=x+11x+1dx=dtlog(x+1)=t+cPut  t=0,  x=0c=log(1)=0t=log(x+1)Putx=99t=log100  =log  102=2log  10

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A particle moves in a straight line with a velocity given by dxdt=x+1 (x is the distance travelled). The time taken by a particle to traverse a distance of 99 metres is