The position of a particle moving along x-axis is given by x = ( 5 t 2 &#x2212; 4 t + 20 ) m , where t is in second. Find the magnitude average velocity between 1 s and 3 s. A)10 m/.s B)16 m/.s C)14 m/.s D)5 m/.s

Question

The position of a particle moving along x-axis is given by    x   =   (   5        t     2      &amp;#x2212;   4   t   +   20   )   m , where t is in second. Find the magnitude average velocity between 1 s and 3 s.    A)10 m/.s   B)16 m/.s   C)14 m/.s   D)5 m/.s

Haylie Long · Accepted Answer

The right option is B 16 m/.sWe know,    x   =   (   5        t     2      &amp;#x2212;   4   t   +   20   )   m t=1 s;         x            i       n           =   5   &amp;#x00D7;   (   1        )     2      &amp;#x2212;   4   &amp;#x00D7;   (   1   )   +   20   =   21   m    t   =   3   s   ;        x            i       n           =   5   &amp;#x00D7;   (   3        )     2      &amp;#x2212;   4   &amp;#x00D7;   (   3   )   +   20   =   53   m         v            a       v       r       g           =   &amp;#x25B3;   x   &amp;#x25B3;   t         v            a       v       r       g           =   (   53   &amp;#x2212;   21   )        /      (   3   &amp;#x2212;   1   )   =   16   m        /      s

The position of a particle moving along x-axis is given by x = ( 5...

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