J & K CET Medical J & K - CET Medical Solved Paper-2002

  • question_answer
    A car moving at 30 m/s slows uniformly to a speed of 10 m/s in a time of 5 s. Determine the distance moved in the third second.

    A)  10 m                                    

    B)  20 m

    C)  40 m                                    

    D)  5m

    Correct Answer: B

    Solution :

                    Rate of change of speed gives acceleration. \[\therefore \]Acceleration/Retardation \[=\frac{change\text{ }in\text{ }speed}{time}\] \[\therefore \]Retardation\[(a)=\frac{30-10}{5}=-4\,m/{{s}^{2}}\] From equation of motion: when \[t=2s,\] \[{{s}_{1}}=ut+\frac{1}{2}a{{t}^{2}}\]                 \[=(30\times 2)-\frac{1}{2}\times 4\times {{(2)}^{2}}=52\,m\] When \[t=3\text{ }s,\]                 \[{{s}_{2}}=30\times 3-\frac{1}{2}\times 4{{(3)}^{2}}=72\,cm\] \[\therefore \]  \[{{s}_{2}}-{{s}_{1}}=72-52=20\,m\]


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