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

  • question_answer
    Two cars A and B at rest at same point initially. If A starts with uniform velocity of 40 m/sec and B starts in the same direction with constant acceleration of \[4\,m/{{s}^{2}}\], then B will catch A after how much time                         [RPET 1999]

    A)             10 sec 

    B)             20 sec

    C)             30 sec 

    D)             35 sec

    Correct Answer: B

    Solution :

                    Let A and B will meet after time t sec. it means the distance travelled by both will be equal.              \[{{S}_{A}}=ut=40t\] and \[{{S}_{B}}=\frac{1}{2}a{{t}^{2}}=\frac{1}{2}\times 4\times {{t}^{2}}\]             \[{{S}_{A}}={{S}_{B}}\Rightarrow 40t=\frac{1}{2}4{{t}^{2}}\Rightarrow t=20\]sec


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