A particle has acceleration a=2t m s−2a=2t\text{ m s}^{-2}a=2t m s−2 for 0≤t≤20\leq t\leq20≤t≤2, and constant acceleration k m s−2k\text{ m s}^{-2}k m s−2 for 2<t≤52<t\leq52<t≤5. Its initial velocity is 1 m s-1 and its velocity at t=5t=5t=5 is -1 m s-1.
Determine kkk.
Determine the displacement during the first 5 seconds.
Determine the total distance travelled during the first 5 seconds.