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Man Wishos rowthe ghores Dossible diglance Irom norh point) He can row kmnnsauth acrosswhichflowvinokmlhr from Iia a28.(a) In which direction should he steer? Atan ...

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Man Wishos rowthe ghores Dossible diglance Irom norh point) He can row kmnnsauth acrosswhichflowvinokmlhr from Iia a28.(a) In which direction should he steer? Atan angle (In degrees) 5847eastOlsquin(b) Suppose that when Ihe manthe middle[VCIlndkmhr Irom the southwes Stantswhich direclion should he steet Atan angle (In degrees)nave straight actoss the river?eastsoulh.Which bank ol the nver will thc rOwer reach Ilrst? The south dank

man Wishos rowthe ghores Dossible diglance Irom norh point) He can row kmnn sauth across which flowvino kmlhr from Iia a28. (a) In which direction should he steer? Atan angle (In degrees) 5847 east Olsquin (b) Suppose that when Ihe man the middle [VCI lnd kmhr Irom the southwes Stants which direclion should he steet Atan angle (In degrees) nave straight actoss the river? east soulh. Which bank ol the nver will thc rOwer reach Ilrst? The south dank



Answers

A river flows with a speed more than the maximum speed with which a person can swim in the still water. He intends to cross the river by shortest possible path (i.e., he wants to reach the point on the opposite bank which directly opposite to the starting point). Which of the following is correct? a. He should start normal to the river bank. b. He should start in such a way that, he moves normal to the bank, relative to the bank. c. He should start in a particular (calculated) direction making an obtuse angle with the direction of water current. d. The man cannot cross the river, in that way.

Oh in this objective discussion given data is that is there is a river. Yeah. Was stds that means if I consider that the speed of robberies that is we are then it is greater than mhm maximum speed of man that is institution given information. So now for the information is given that is this person or I consider this man is trying to across the river. Bye. Yeah, yeah, yeah shortest possible part. So that means it is trying to reach the point on the opposite side which is directly to opposite to starting point. Did miss. So this institution is human and now you can see that there are four options given and we have to judge which option is correct. So my answer is after reading the given options. My answer is studies option D Yeah, yeah, because you can see that the river speed is Yeah a spirit of river yes, maximum is greater than with maximum speed off man did miss I considered this man, the man cannot across the newer in that way. Mhm So the answer will be that is option day. So this is the solution and I consider this is the explanation also. So I had saw the addition completely thank you

All right, But both captain wants to go directly across the river, flowing east at 1.0 m per second. That means we want to go from south to north without doing westward or eastward. He goes from south to north with velocity 6.10 m per second with respect to the water. And what direction should he steer? Such that the captain goes directly north. So let's draw this out. We want to travel along D. Given the speed of the river are we have to try out? We have to follow velocity vector V. Such that by a collector edition vehicles are equals D. So for relative motion, D. Is equal to zero dy. Because there's no X. Component or are exposed DX Dy. Because our does not have a wide component. So that means taxes the negative of Iraq. So V X is negative 1.0 seconds or one m second west. Then, since we have the magnitude of V for for magnitude V equals square root of the X squared plus y squared. We can solve for B Y, as I do here as square V squared minus x squared to get 6.2 m second north. Next, we can solve for the angle as arc tanne dy over DX, Giving 80.6° north of West or 318.4°..

In this objective prosecution given data is that is you can see that there is a figure given. So first I will draw this figure and explain the data that is given. So in the confusion information is given for a river. So I considered as um this is a river. So no kitchen is saying that this river is flowing from west to east. So if I consider that the decision is that this is the north, this is it east, this is a south and this is the west. Then I considered that they were is flowing in this direction. So that means rushed to east and the speed is Cuban magnitude of river. That is sorry magnitude of speed of river is given. That is we are that is equal to five middle per second and no further information is given that is There is a former given. So initially this humor is here at .8 and after it in the cushion the speed of humor is human. That is it is trying to swim. So you seriously one that means yes, a speed of swimmer today is equal to 10 m/s. And in the question it is asking that the summer ties trying to more and coming to opposite side of A. That means if I consider that this is the point B which is straight opposite to side A. So that means the swimmer after moving it is trying to come at B. So no institution. It is asking dead what direction should he swim? Yeah. From eight point so that it will reach opposite to A. That means it will reach directly at B be point notice that means this information is human and it is asking that we're able to find the direction of the humor. So now you consider there are four options given. So after selling my answer is that is option. See Mhm. No I will give the explanation. So the explanation is here I am again growing the figured to show the data that is even so you can see that this is the river and this is the starting point and consider that mm This is the opposite two 0.8 given named that is B. So now simmer is trying to swim in distraction which is making an angle due to with the vertical. So this side is saying that vector we yes and this side will show that vector we are dead means speed of. Sorry. Well city vector off river. And this will sort adversity vector of swimmer. So no next step is after growing this figure. I will trying to find the value of scientists to so scientists will be look this figure so that I considered scientific is equal to we are divided by V. S. That means magnitude off speed of liver divided by minute drove the speed of summer. So no use the data that is even so I consider scientists will be equal to that is 5/10. Or I considered after swelling theater will be that is taking a silent was to both sides And after simplifying I will get the theater that is equal to 30°. So yeah so you can see that. I had get the Value of angle that is theater that is 30° and now you consider this theater is from vertical. So that means I can say that the summer is Trying to swim 30° west off north because similar is trying in this direction. So here you can see that this is the north and this is the south, this is the east and this is the west. This room in the cushion. The reproduction is here and it is west to east and you consider simmer and simmer is trying to make an angle data with the vertical and moving in the direction that is making angle from north from west of north that is data. So here In the result I had got the value of that data that is 30° so the action will be that is 30 degree wished of north. So no next step is compared this result with the given option so the option which is matching with the answer that is option she see sorry obstinacy. So that means I considered the the answer will be there is option C. So I had explained everything step by step so this is a solution of given cushion. Thank you

Hi friends. This is the problem based on a concept off crossing the river. Here it is given there is a river having the bit 400 m in which water current is a bit off. The river is 400 m, in which water current is 30 meter permanent. American wrote about Britain maximum speed off 100 meter bit permanent with respect of water in Stillwater. It starts from the 0.8 on the South Bank on the north. Make There is a point we just vertically ever on down to the point we there is a point. C on B. C is given 75 m in the part eight. This is the south. This is the not the it on north sore. Will you lend if you point right point your boat perpendicular toe water flow on calculate distance covered. Let us see the solution for what? Ruin perpendicular toe flow off water Crossing his speed is 100 m per minute and drifted speed down to the street as 30 m permanent. Hence time taken by the boat to reach downstream. So time off crossing the river, you will get distance based off the river upon crossing speed. So time off crossing you will get 400 divided by 100. That is four minute and during the four minute drifted, it will be on. It will reach from 3.2 d. You can mark in the figure. Just a moment. So what will reach at pointy, which is video distance of it Drifted speed in tow. Crossing time drifted spirits 30 m Permanent time is four minutes. That is one contributor. So what will reach down to dusting? One contributor from B and total distance covered will be B D square plus a V script. Yeah, I am growing the diagram here. This is the river. This is the water float. This is the point A on the South Bank. And this is the point. We on the North Bank he's rowing the boat in this direction So he will reach here on the distance Covered will be equal to 80 so that we're measuring so distance as which is equal to every so you can measure by Pythagoras So BD we a major 1 20 a d is 400 So total distance 400 17.6 m. This is the answer apart ape in part we if you a your boat and usually the watch. See? We're on the north. You will let then? Yeah. On the north you lend. Let us see the diagram. This is the worst of the river indeed. As you know, 400 m, this is the flow of water. This is the south bank of the river at eight. This is the north. Make a V. The 60 point on B c A B is 400 m. We see it 75 m. You are aiming the boat to raw along this easy like so this angle will with theater. Yeah, so drift velocity. So the crossing speed will be we cause of theater and it would be 100 in tow. Car stato four upon a C that is 400 upon 407 m per second. So time taken to cross the butch birth of the river crossing speed with this 400 So it will be 4.7 minute. So in this case, crossing the river time will be 4.7 Onda drifted speed will be beat a blue Pless be boat Sign up, Tito So down to the strip he will reach. See? We eat. I am marking it. He will reach at this point. Eat So be even Be on drifted speed and took time off crossing the river BW be butch Sign off theater and tow time off crossing the river Substituting the well 30 be both is 100. See the figures? It will be 75 of one 407 and took time off crossing the river 4.7 So it will be 1 97 m. So he will reach. They're both Bill. Reach down the stream on the north bank at a distance 1 97 m from the no deeper sorry. See part to reach at point C to reach at Wannsee at parting He must Sorry. At what angle must both must be revoked. Time off crossing the river distance travel and a speed of the boat by which it will reach reaching speed observed by Yeah, Just a moment, please. We have to calculator spirit off a boat with respect Toe observer on the other bank of the river that is north. Wink, let us here Suppose he is start from a This is the point B and this is see point A. B. You know, 400 m is he is sorry. B c is 75 m support. A vote is to be soon at Angle Theater. Then crossing speed will be the recalls. Off theater that is 100 cause off theater meter permanent. So time off crossing you can find it is to be switched off the river upon crossing speed that is 400 upon 100 question Onda drift velocity will be 30. Bless 400. Sign off theater So drift busy. It's called drip Felicity into crossing time Substitute This is given 75 m This is 30 plus 400 Sign off theater and toe 400 upon 100 Cause of theater. By solving this equation theater, you will get 83.5 degrees. I am up crossing the river 400 upon 100 costs off 83.5. So it is 4.2 seconds. Speed off the boat with respect to observer on the North Bank. So the speed off What speed output in this direction at Angle theater? Yeah, So a relative velocity off both with respect. Oh, observer is we go to square we flew off Water Square who looks course off 90 minus 83.5, substituting the value 100 30 chi square 100 30 course. So 6.5 on solving it, you will get it is to be 101 m per second. That's all. Thanks for watching it.


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