A particle moves along the xxx-axis with acceleration (6t−24) m s−2(6t-24)\text{ m s}^{-2}(6t−24) m s−2. At t=0t=0t=0 its velocity is 60 m s-1 in the positive xxx-direction.
Show that the particle never travels in the negative xxx-direction.
Find the distance travelled in the first 10 seconds.