JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति JEE PYQ - One Dimensional Motion

  • question_answer
    A car moving with a speed of 50 km/h, can be stopped by brakes after atleast 6 m. If the same car is moving at a speed of 100 km/h, the minimum stopping distance is    [AIEEE 2003]

    A)             12m

    B) 18m 

    C)             24m

    D) 6m

    Correct Answer: C

    Solution :

    [c] From equation of motion, \[{{v}^{2}}={{u}^{2}}+2as,\].
    we get  \[0={{\left( 50\times \frac{5}{18} \right)}^{2}}+2\,a\times 6\]
                            \[a=-16\,m/{{s}^{2}}\](here, a = retardation)
    Again    \[{{v}^{2}}={{u}^{2}}+2\,as\]
                            \[0-{{\left( 100\times \frac{5}{18} \right)}^{2}}-16\times 2\times s\]
                            \[s=\frac{{{(100\times 5)}^{2}}}{18\times 18\times 32}=24.1\approx 24\,m\]


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