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Two bodies start moving in the same straight line at the same instant of time from the same origin. The first body moves with a constant velocity of 40 m/s, and the second starts from rest with a constant acceleration of 4m/s""^2. Find the time that elapses before the second catehes the firs body. Find also the greatest distance between der prior to ir and the time at which this occurs.

Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :When the second body catches the first, the <a href="https://interviewquestions.tuteehub.com/tag/ditance-2588434" style="font-weight:bold;" target="_blank" title="Click to know more about DITANCE">DITANCE</a> <a href="https://interviewquestions.tuteehub.com/tag/travelled-7256865" style="font-weight:bold;" target="_blank" title="Click to know more about TRAVELLED">TRAVELLED</a> by each is the same. <br/> `40t=1/2(4)t^(2) or t=20S` <br/> Now, the distance s between the two bodies at any time t is <br/> `s=ut-1/2at^(2)` <br/> For s to be maximum. <br/> `(<a href="https://interviewquestions.tuteehub.com/tag/ds-960390" style="font-weight:bold;" target="_blank" title="Click to know more about DS">DS</a>)/(dt)=<a href="https://interviewquestions.tuteehub.com/tag/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a> or u-at=0` <br/> `or t=u/a=(40)/(4)=10s` <br/> Maximum Distance `=40 xx 10-1/2 xx 4 xx (10)^(2)=400-200=200m`</body></html>


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