How to find the final velocity of a ball that bounces off of a wall when given a Force vs Time graph

A rubber ball of mass 140 g collides with a wall. The figure shows an approximate representation of the force versus time during the collision. The initial velocity of the ball is 5.2 m/s perpendicular to the wall. The maximum contact force during the collision is 350 N. The ball rebounds perpendicularly to the wall. What is the value of the rebound speed of the ball?

[@user-fb9rh1wr3l]

hi does the solution to this problem still work if you make the initial velocity positive and the return negative? This way is just more intuitive but I can't seem to make it work.

[@ZeroWaitTutoring]

You would need to modify the conservation of momentum equation to account for V2 being negative as well as the change of momentum being negative. it would be: -(change of momentum) = -mV2 - mV1. with numbers: -1.4 = -.14V2 - .14(5.2). Then, -1.4 + .14(5.2) = -.14V2. Then -.14V2 = -.672. Divide -.14 to both sides and get V2 = 4.8 m/s. Since you specified that V2 was negative (by saying that V1 is +), you would add a negative in the front or say that it's to the left.