JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Sample Paper Topic Test - One Dimensional Motion

  • question_answer
    A cyclist starts from the centre O of a circular track of radius R = 2 km, moves along radius OP and then moves from P to Q along the circumference and there at Q it stops. The total time of motion of the cyclist is 45 min. The average speed of the cyclist is

    A) 8 km/h

    B) 6.86 km/h

    C) 15.23 km/h

    D) None of these

    Correct Answer: C

    Solution :

    [c] Total distance travelled by the cyclist is,
    \[d=R+\frac{3}{4}\times 2\pi r=\left( 2+\frac{3}{4}\times 2\pi \times 2 \right)\,km\]
    \[\Rightarrow \]            \[d=(2+3\pi )\,km\]
    Average speed,
    \[v=\frac{d}{t}=\frac{2+3\pi }{\frac{3}{4}}km\text{/}h=15.23\,km\text{/}h\]


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