Advanced Maths (Vectors) AQA Level

posted by Jat

A boat which can travel at 5m/s in still water is crossing a river 200 m wide.the rate of the flow of the river is 2 m/s assumed uniform at every point in the river. Point A and B are directly opposite to each other across the river.
a) If the boat leaves A and steer towards B, at what speed it will travel and at what point it will reach the opposite bank?
b) If the boat needs to travel towards B, in which direction it should be steered and the speed at which it will travel?

  1. Jat

    a)by Phythagorous
    c^2 =a^2 + b^2
    = 5^2+ 2^2=25+4=29
    c=5.38m/s
    b)sin (theta)=2/5
    theta = sin^-1 (2/5)
    theta=23.57 degree

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