two-parallel-paths-26m-apart-run-east-west-through-the-woods-one-person-east-on-one-path-at-3-kmph-and-another-west-on-other-path-at-4-kmph-if-they-pass-each-other-at-time-t-0-i-how-far-apart

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Question Number 157739 by gsk2684 last updated on 27/Oct/21

$$twoparallelpaths26mapartrun$$$$east-westthroughthewoods.$$$$onepersoneastononepathat$$$$3kmphandanotherwestonother$$$$pathat4kmph.iftheypasseach$$$$otherattimet=0,$$$$i)howfarapartarethey$$$$8seclater?$$$$ii)howfastisthe$$$$distancebetweenthemchanging$$$$atthatmlment?$$$$iii)findthedistanceL$$$$betweenthemat8secand\frac{dL}{dt}?$$

Commented by gsk2684 last updated on 27/Oct/21

$$couldyouplsanswerthis.$$

Answered by Kunal12588 last updated on 27/Oct/21

$$atime=t$$$$positionoffirstperson=3t\hat{i}$$$$positionofsecondperson=-4t\hat{i}$$$$distancebetweenthem=\mid 3t-(-4t)\mid =7t$$$$\left(assuming{}^{\prime }{t}^{\prime }ispositive\right)$$$$$$$$\left(i\right)att=8$$$$distancebetweenthem=7\times 8=56km$$$$\left(ii\right)\frac{d}{dt}\left(7t\right)=7kmph.irrespectiveofthetime$$$$\left(iii\right)L=56kmand\frac{dL}{dt}=7kmph$$

Commented by gsk2684 last updated on 28/Oct/21

$$thanks$$$$anditisguventhatthepathsare$$$$parallelnotonthesameline.$$$$andtheyapart26m.$$

Commented by Kunal12588 last updated on 29/Oct/21

Commented by gsk2684 last updated on 30/Oct/21

$$thanks(°⌣°)$$

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