Q. A POINT TRAVERSED (1/N) TH THE DISTANCE WITH A VELOCITY V 0 . THE REMAINING PART OF DISTANCE WAS COVERED WITH VELOCITY V 1 FOR HALF THE TIME, AND WITH VELOCITY V 2 FOR THE OTHER HALF OF THE TIME. FIND THE MEAN VELOCITY OF THE POINT AVERAGED OVER THE WHOLE TIME OF THE MOTION.

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​​Q. A POINT TRAVERSED (1/N) TH THE DISTANCE WITH A VELOCITY V 0 . THE REMAINING PART OF DISTANCE WAS COVERED WITH VELOCITY V 1 FOR HALF THE TIME, AND WITH VELOCITY V 2 FOR THE OTHER HALF OF THE TIME. FIND THE MEAN VELOCITY OF THE POINT AVERAGED OVER THE WHOLE TIME OF THE MOTION.

Manabendra Nath Gaine · Answer

4N/(4V 0 +N-1)

Bharat Makkar · Answer

ITS ABSOLUTELY WRONG ANSWER. PLEASE TELL THE RIGHT ANSWER ALONG WITH PROPER EXPLANATION.

madhur mehta · Answer

THE ANSWER IS: NV0 (V1+V2)/[2(N-1) V0 +V1+V2]

Bharat Makkar · Answer

explanation please althought the ans is correct

Manabendra Nath Gaine · Answer

Yes,I am wrong. The

Manabendra Nath Gaine · Answer

Yes, I am wrong. The right answer is explained below: Let total distance = S, Time required(t1)Total time to cover the distance with velocity V0 = S/NV0. Remaining part of the distance = S – S/N =S(N-1)/N. If this distance is covered in time 2t, V1.t+V2.t =S(N-1)/N . Therefore t = S(N-1)/N(V1+V2). So Vavg = Net displacement/Total time = S/(S/NV0 +2S(N-1)/N(V1+V2)) = NV0(V1+V2)/ (V1+V2+2V0(N-1))

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Q. A POINT TRAVERSED (1/N) TH THE DISTANCE WITH A VELOCITY V 0 . THE REMAINING PART OF DISTANCE WAS COVERED WITH VELOCITY V 1 FOR HALF THE TIME, AND WITH VELOCITY V 2 FOR THE OTHER HALF OF THE TIME. FIND THE MEAN VELOCITY OF THE POINT AVERAGED OVER THE WHOLE TIME OF THE MOTION.

Q. A POINT TRAVERSED (1/N)^TH THE DISTANCE WITH A VELOCITY V₀. THE REMAINING PART OF DISTANCE WAS COVERED WITH VELOCITY V₁ FOR HALF THE TIME, AND WITH VELOCITY V₂ FOR THE OTHER HALF OF THE TIME. FIND THE MEAN VELOCITY OF THE POINT AVERAGED OVER THE WHOLE TIME OF THE MOTION.

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​​Q. A POINT TRAVERSED (1/N) TH THE DISTANCE WITH A VELOCITY V 0 . THE REMAINING PART OF DISTANCE WAS COVERED WITH VELOCITY V 1 FOR HALF THE TIME, AND WITH VELOCITY V 2 FOR THE OTHER HALF OF THE TIME. FIND THE MEAN VELOCITY OF THE POINT AVERAGED OVER THE WHOLE TIME OF THE MOTION.

​​Q. A POINT TRAVERSED (1/N)TH THE DISTANCE WITH A VELOCITY V0. THE REMAINING PART OF DISTANCE WAS COVERED WITH VELOCITY V1 FOR HALF THE TIME, AND WITH VELOCITY V2 FOR THE OTHER HALF OF THE TIME. FIND THE MEAN VELOCITY OF THE POINT AVERAGED OVER THE WHOLE TIME OF THE MOTION.

6 Answers

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Q. A POINT TRAVERSED (1/N) TH THE DISTANCE WITH A VELOCITY V 0 . THE REMAINING PART OF DISTANCE WAS COVERED WITH VELOCITY V 1 FOR HALF THE TIME, AND WITH VELOCITY V 2 FOR THE OTHER HALF OF THE TIME. FIND THE MEAN VELOCITY OF THE POINT AVERAGED OVER THE WHOLE TIME OF THE MOTION.

Q. A POINT TRAVERSED (1/N)^TH THE DISTANCE WITH A VELOCITY V₀. THE REMAINING PART OF DISTANCE WAS COVERED WITH VELOCITY V₁ FOR HALF THE TIME, AND WITH VELOCITY V₂ FOR THE OTHER HALF OF THE TIME. FIND THE MEAN VELOCITY OF THE POINT AVERAGED OVER THE WHOLE TIME OF THE MOTION.