JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank Uniform Motion

  • question_answer
    A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km/h. Finding the market closed, he instantly turns and walks back home with a speed of 7.5 km/h. The average speed of the man over the interval of time 0 to 40 min. is equal to                        [AMU (Med.) 2002]

    A)         5 km/h    

    B)        \[\frac{25}{4}\] km/h

    C)         \[\frac{30}{4}\] km/h

    D)                \[\frac{45}{8}\] km/h

    Correct Answer: D

    Solution :

          A man walks from his home to market with a speed of \[5\ km/h\].Distance\[=2.5\ km\] and time\[=\frac{d}{v}=\frac{2.5}{5}=\frac{1}{2}hr\]. and he returns back with speed of \[7.5\ km/h\] in rest of time of 10 minutes. Distance \[=7.5\times \frac{10}{60}=1.25\ km\] So, Average speed\[\because h=ut+\frac{1}{2}g{{t}^{2}}\] \[=\frac{(2.5+1.25)km}{(40/60)hr}=\frac{45}{8}km/hr\].


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