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 body starts from rest and is uniformly accelerated for 30 s. The distance travelled in the first 10 s is \[{{x}_{1}}\], next 10 s is \[{{x}_{2}}\], and the last 10 s is \[{{x}_{3}}\]. Then \[{{x}_{1}}:\text{ }{{x}_{2}}:\text{ }{{x}_{3}}\] is the same as:

    A) 1:2:4    

    B) 1:2:5

    C) 1:3:5                

    D) 1:3:9

    Correct Answer: C

    Solution :

    \[{{x}_{1}}=\frac{1}{2}a{{\left( 10 \right)}^{2}}=50a\] \[{{x}_{2}}=\left( 10a \right)\left( 10 \right)+\frac{1}{2}a{{\left( 10 \right)}^{2}}=150a\] \[{{x}_{3}}=\left( 20a \right)\left( 10 \right)+\frac{1}{2}a{{\left( 10 \right)}^{2}}=250a\] \[\Rightarrow {{x}_{1}}:{{x}_{2}}:{{x}_{3}}::1:3:5\]s


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