A body covers 100 cm in first 2 seconds and 128 cm in the next four seconds moving with constant acceleration .Find the velocity of the body at the end of 8 sec?

Explanation

In first 2 seconds:`100=2u+(1)/(2)a`,4………(1)
In first first 6 seconds :228=6u`+(1)/(2)`a.36rarr(2)
`(1)xx(3)`-(2) givs 72=-12a
`a=-6cm//s^(2)`……..(3)
100 =2u`-(1)/(2)xx6xx4`
2u=112 u=56cm/s………..(4)
Now velocity of body at the end of 8 sec is
V=u+at=56-`6xx8` `thereforeV+8cm//s`