JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank Self Evaluation Test - Motion in a Strainght Line

  • question_answer
    A car of mass 1000 kg is moving at a speed of 30 m/s. Brakes are applied to bring the car to rest. If the deceleration is \[5\text{ }m/{{s}^{2}}\] the car comes to stop after travelling d m in t s. Then

    A) d = 150, t=5

    B) d = 120, t=5

    C) d = 180, t=6    

    D) d = 90, t=6

    Correct Answer: D

    Solution :

    Given: mass of car \[\,m=\text{ }1000\text{ }kg\]; \[~m=\text{ }30\text{ }m/s;\] \[v=0\text{ }m/s\] Retardation, \[-\text{ }a\text{ }=\text{ }5\text{ }m/{{s}^{2}}\] By equation, \[{{v}^{2}}-\text{ }{{u}^{2}}=\text{ }2as\] \[0-{{\left( 30 \right)}^{2}}=-2\times 5\times d\] \[\therefore d=\frac{900}{10}=90m\] \[\text{and a=}\frac{v-u}{t}\therefore t=\frac{v-u}{a}=\frac{0-30}{-5}=6s\]


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