please help me to calculate the final velocities to compare with my measurement.

Plot Pao = Puf + Pe, f m, Vio + Mav/20 = miVif + M 2Vzf V Vis - Vis + For one cart initially at rest miVio = M, Vif + Mc Yzf For inelastic Collisions MiV 10 + movzo = (mitm ) Ve For one cary MV. + 2MVzo = MVif + am/2+ twice the massYou will be setting up each of the following four collisions. For each one, use the photogates to measure the velocities of each cart both before and after the collision. Remember that the photogates do not recognize direction, so you must include the appropriate signs for velocity. Then, for each collision, use the appropriate equations from your text to calculate the expected final velocities, and compare these to your experimental values. a) A moving aircart collides elastically with a second aircart that is initially at rest and has twice as much mass. b) A moving aircart collides elastically with a second aircart that is initially at rest and has half as much mass. c) The same situation as part a), but this time a completely inelastic collision. d) The same situation as part b), but this time a completely inelastic collision.