A particle starts from rest, accelerates at 2 m / s 2 for 10s and then goes for constant speed for 30s and then decelerates at 2 m / s 2 till it stops. What is the distance travelled by it A.750m B.800 m C. 700m D. 850m

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A particle starts from rest, accelerates at   2  m      /        s    2   for 10s and then goes for constant speed for 30s and then decelerates at   2  m      /        s    2    till it stops. What is the distance travelled by it A.750m B.800 m C. 700m D. 850m

Saniya Underwood · Accepted Answer

Body-acquired velocity in 10 seconds           v  =  0  +  2  ×  10  =  20  m      /    s and distance travelled by it in 10 sec               S    1    =      1    2    ×  2  ×  (  10      )    2    =  100  m then it moves with constant velocity (20 m/s)     for 30 sec               S    2    =  20  ×  30  =  600  m After that due to retardation   (  4  m      /        s    2    ) it stops      S    3    =            v      2              2      a        =            (      20              )        2                    2      ×      4        =  50  m So total distance travelled is 750 m.

A particle starts from rest, accelerates at 2 m/s^2 for 10s and then goes for constant speed for 30s and then decelerates at 2 m/s^2 till it stops. What is the distance travelled by it A.750m B.800m C.700m D.850m

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