Suppose that a particle moves along a straight line with velocity v(t)=146t\displaystyle {v}{\left({t}\right)}={14}-{6}{t}, where 0t0.5\displaystyle {0}\le{t}\le{0.5} (in meters per second). Find the formula for the displacement of the particle and the total distance it has traveled at time t=0.5\displaystyle {t}={0.5} seconds.

Displacement at time t\displaystyle {t} is:  

Total distance traveled:   meters in 0.5 seconds