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ashna

A motor boat is rising towards N at 25 Km/hr and the water current in that region is 10 km /hr in the direction of 60° east of south . Find the resultant velocity of the boat .

  • one year ago
  • one year ago

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  1. ashna
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    @waterineyes you know this sum ?

    • one year ago
  2. waterineyes
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    I don't...

    • one year ago
  3. ashna
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    you know some one in open study who can help me ?

    • one year ago
  4. waterineyes
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    I think @sauravshakya can help you here..

    • one year ago
  5. ashna
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    i sent him a msg .. no reply :/

    • one year ago
  6. waterineyes
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    But he is online.. Let me try..

    • one year ago
  7. ashna
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    okay !

    • one year ago
  8. waterineyes
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    Which chapter is this ??

    • one year ago
  9. ashna
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    motion in a plane.

    • one year ago
  10. waterineyes
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    Yeah I think you will get help here..

    • one year ago
  11. ashna
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    thanks waterineyes :)

    • one year ago
  12. waterineyes
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    @rsadhvika do you know how to solve this ??

    • one year ago
  13. waterineyes
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    |dw:1344771481322:dw|

    • one year ago
  14. waterineyes
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    Here A and B are the vectors.. A is representing the boat and B is representing Water...

    • one year ago
  15. ashna
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    okay .. understood !

    • one year ago
  16. waterineyes
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    Now We have to find Resultant first.. For that we first make our figure look like parallelogram..

    • one year ago
  17. ashna
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    okay

    • one year ago
  18. waterineyes
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    Wait I draw the figure more clearly for you..

    • one year ago
  19. ashna
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    its okay .. i can understand :)

    • one year ago
  20. waterineyes
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    |dw:1344771854805:dw|

    • one year ago
  21. ashna
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    |dw:1344771963782:dw|

    • one year ago
  22. ashna
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    is that the parellelogram we need ?

    • one year ago
  23. waterineyes
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    Now make it look like parallelogram: |dw:1344771989674:dw| Getting this ??

    • one year ago
  24. ashna
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    yeah got it !

    • one year ago
  25. waterineyes
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    Now can you draw diagonal of the parallelogram ??

    • one year ago
  26. ashna
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    |dw:1344772085729:dw|

    • one year ago
  27. ashna
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    wrong ?

    • one year ago
  28. waterineyes
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    Great.. This is the resultant of A and B vector..

    • one year ago
  29. ashna
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    okay :)

    • one year ago
  30. ashna
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    what is theta here ?

    • one year ago
  31. waterineyes
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    You must mention the direction also..

    • one year ago
  32. ashna
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    what direction ? direction of vector ?

    • one year ago
  33. waterineyes
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    |dw:1344772213529:dw|

    • one year ago
  34. ashna
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    okay !

    • one year ago
  35. waterineyes
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    Since boat has higher velocity then boat will go in upward direction.. Getting ??

    • one year ago
  36. ashna
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    yeah ..and if lower velocity , down ?

    • one year ago
  37. waterineyes
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    Yeah that will depend upon velocity of water..

    • one year ago
  38. ashna
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    okay !

    • one year ago
  39. waterineyes
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    Have you studied about the formula: \[Resultant (R)= \sqrt{A^2 + B^2 + 2AB \cos(\theta)}\]

    • one year ago
  40. ashna
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    yeah i have !

    • one year ago
  41. waterineyes
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    Here A is just velocity of boat that is : 25 and B is just velocity of water that is : 10 But you have to find theta first.. Right ??

    • one year ago
  42. ashna
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    yeah .. how do we find theta ?

    • one year ago
  43. waterineyes
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    Theta is basically angle between the two vectors A and B.. Here what is the angle between A and B.. Can you locate on the drawing ??

    • one year ago
  44. ashna
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    |dw:1344772636899:dw|

    • one year ago
  45. ashna
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    i don't know !

    • one year ago
  46. ashna
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    |dw:1344772698399:dw|

    • one year ago
  47. waterineyes
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    That is the angle between A and the resultant.. We have to locate angle between A and B..

    • one year ago
  48. waterineyes
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    Don't worry @ashna I draw it..

    • one year ago
  49. ashna
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    okay !

    • one year ago
  50. waterineyes
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    |dw:1344772809427:dw| Getting?? That is the angle between A and B..

    • one year ago
  51. ashna
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    yeah !

    • one year ago
  52. waterineyes
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    Can you find its value ??

    • one year ago
  53. waterineyes
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    Make a try..

    • one year ago
  54. ashna
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    180 - 60 ?

    • one year ago
  55. ashna
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    120 ?

    • one year ago
  56. waterineyes
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    Great.. A medal for you..

    • one year ago
  57. ashna
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    :)

    • one year ago
  58. waterineyes
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    Can you tell cos(120) = ??

    • one year ago
  59. ashna
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    yea .. cos (90+30) - sin 30 - 1/2 correct ?

    • one year ago
  60. waterineyes
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    I wish I could give you more medals.. Yes that is very correct.. Now can you use that formula ??

    • one year ago
  61. ashna
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    okay i'll try !

    • one year ago
  62. waterineyes
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    There is no need to go fast.. I can wait.. Just take your time and post your answer here..

    • one year ago
  63. waterineyes
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    I think this site is going to be down soon..

    • one year ago
  64. waterineyes
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    If my reply does not come @ashna then don't worry . Just post the answer or doubt here I will check it later on..

    • one year ago
  65. waterineyes
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    What happened @ashna

    • one year ago
  66. ashna
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    okay .. now i can type .. some net problem i guess.. sorry for the delay .. i got square root 475 !

    • one year ago
  67. ashna
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    91.7945

    • one year ago
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