A kayak on a lake is moving at a constant speed of 4.1 m/s in a direction 41.6° north of west. After 10 min, find the following.(a) how far

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A kayak on a lake is moving at a constant speed of 4.1 m/s in a direction 41.6° north of west. After 10 min, find the following.(a) how far west the kayak has traveled km (b) how far north the kayak has traveled km

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Thu Thảo 6 months 2021-07-29T20:13:00+00:00 1 Answers 5 views 0

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    2021-07-29T20:14:53+00:00

    Given :

    A kayak on a lake is moving at a constant speed of 4.1 m/s in a direction 41.6° north of west.

    To Find :

    After 10 min :

    (a) how far west the kayak has traveled km.

    (b) how far north the kayak has traveled km.

    Solution :

    a) Time taken in seconds :

    t=10\times 60 \ s = 600\ s .

    Distance travelled in 600 s is :

    D=s\times t\\\\D=4.1\times 600\ m\\\\D=2460\ m

    Distance in km is :

    D=\dfrac{2460}{1000}=2.46\ km

    b) Now , distance from the north is given by :

    d=D\times sin\ 41.6^o\\\\d=2.46 \times sin\ 41.6^o\\\\d=1.63\ km

    Hence , this is the required solution .

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