1. A particle of mass no moving in one dimension is subjected to a force FLT] 3.15 1 Erica.2, where I; and a. are positive constants. (3) Determine the potential energy function V{rt}, with the arbitraryr integration constant chosen so that V{} (1. Determine also the locations of the extrema of V{:r}_ and the values of V[:r) at these extrema. Using this information, make a properlylabeled sketch of V{rr}. Describe {qualitatively} all possible motions of the particle for the following three cases of total energy: E <: i c: e keg and :- in the special case irrigl energy equation g vita is eastr to integrate. integrate this nd t for initial conditions rem ll lb sketch it. how long does it take particle reach point motion oscillatory verify that you determined part is. indeed a solution newtouis equation: f mi. bo tha cobie binthe force larger as rest uco vio c my small u but utk ka ky if ek moral be positive=""> Whay poured (0, 0) , [ta, ska") => mohn (k>D, V)0) but Uck> 1 it= ( x-|- Alxtal) +c JETE-UKH 1 d w x(1-0)= & (1to) a (1+ ce (1 - CJ kit)= all-e - 1 )