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the positon of a particle moving in a staright line along x axis varies with time t as x=12t-3t^2 m where t is in sec. the distance covered in time 5sec = ?
lets find velocity time graph that is dx/dt wrt t graph v=12-6t this shows paricle changes direction at t=2s so speed vs time graph will be |12-6t| so distance will be integration of above function from 0 to 5 which give the answer as 39m aprove if it helps you as it motivates me to answer more
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