Question: A hall has 3 gates. In how many ways can a man enter the - TopicsExpress

Question: A hall has 3 gates. In how many ways can a man enter the hall through one gate and come out through a different gate? A) 6 B) 7 C) 8 D) 5 Solution of previous question: (a) If the object thrown vertically covers a distance y1 in time t then y1 = v0t – (1/2)gt2 and x1 = 0. Now as the second object is thrown at an angle Ɵ, its abscissa after time t is x2 = (v0cosƟ)t and its ordinate y2 = (v0sinƟ)t – (1/2)gt2. So the distance between them is given by √ [(x2-x1)2 + (y2-y1)2]= √[v02t2cos2Ɵ + (v0tsinƟ-1/2 gt2 – v0t + 1/2 gt2)2] = t√ [v02cos2Ɵ + v02sin2Ɵ + v02 – 2v02sinƟ] = t√[2v02 – 2v02sinƟ] = tv0√[2(1-sinƟ)] = 22m upon substitution of values. Correct option : (a) For more questions like this visit: mycollegebag.in/jee-mathematics-quiz.html

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