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

  • question_answer
    A particle starts from rest, accelerates at 2 m/s2 for 10s and then goes for constant speed for 30s and then decelerates at 4 m/s2 till it stops. What is the distance travelled by it                             [DCE 2001; AIIMS 2002; DCE 2003]

    A)             750 m

    B)             800 m

    C)             700 m

    D)                      850 m

    Correct Answer: A

    Solution :

                    Velocity acquired by body in 10sec             \[v=0+2\times 10=20m/s\]             and distance travelled by it in 10 sec             \[{{S}_{1}}=\frac{1}{2}\times 2\times {{(10)}^{2}}=100\ m\]             then it moves with constant velocity (20m/s)  for \[30\ \sec \]             \[\ {{S}_{2}}=20\times 30=600\ m\]             After that due to retardation \[(4m/{{s}^{2}})\]it stops             \[{{S}_{3}}=\frac{{{v}^{2}}}{2a}=\frac{{{(20)}^{2}}}{2\times 4}=50m\]             Total distance travelled \[{{S}_{1}}+{{S}_{2}}+{{S}_{3}}=750m\]    


You need to login to perform this action.
You will be redirected in 3 sec spinner