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CMI-2019-DataScience-B: 14

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A thief picks a wallet and starts running at a speed of $5\; m/s$ with zero acceleration. In $5$ seconds, a policewoman notices the alarm and starts following the thief with a speed of $3\; m/s$ with a uniform acceleration of $1\; m/s^2$. How many seconds will it take the policewomen to catch the thief, assuming she follows the same path as that of the thief? (A body moving with initial velocity $v_0$ m/s and uniform acceleration $a\; m/s^2$ will cover a distance of $(at^2/2+v_0t)$ meters in $t$ seconds.)

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