A dynamics cart with a force sensor attached is placed on a level track. Attached to the force sensor is a string of negligible mass that passes over a pulley. A hanging mass is then attached to the free end of the string and the cart is released from rest. Draw a picture of this situation below and label all of the forces present. You should ignore any friction on the axels of the cart and pulley

After the car has traveled half of the length of the track the string is cut. Sketch the velocity vs. position graph of the cart for the entirety of its motion. Assume that the cart released from rest at the origin and the track is 2.0 m in length.