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Math Help - relative motion of two moving objects

  1. #1
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    relative motion of two moving objects

    I need the ans with relevant figure :

    Problem ::
    Two particles P and Q, are 30m apart with Q due north of P. Particle Q is moving at 5m/s in a direction 90 deg and P is moving at 7m/s in a direction 30 deg. Find

    (a) the magnitude and direction of the velocity Of Q relative to P,
    (b) the time taken for Q to be due east of P,to the nearest second.
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  2. #2
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    Hello manik
    Quote Originally Posted by manik View Post
    I need the ans with relevant figure :

    Problem ::
    Two particles P and Q, are 30m apart with Q due north of P. Particle Q is moving at 5m/s in a direction 90 deg and P is moving at 7m/s in a direction 30 deg. Find

    (a) the magnitude and direction of the velocity Of Q relative to P,
    (b) the time taken for Q to be due east of P,to the nearest second.
    Here's the diagram showing the velocities.

    Use the Cosine Rule to find the magnitude of the velocity of Q relative to P.

    Then find the component of this velocity in a North-South direction (indicated by the dotted line on the diagram).

    From this you can work out the direction of this velocity, and how long it takes before Q is East of P.

    Can you complete it now?

    Grandad
    Attached Thumbnails Attached Thumbnails relative motion of two moving objects-untitled.jpg  
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