A student investigаtes the mоtiоn оf а cаrt rolling down an incline and colliding with another cart at the bottom. The following data were collected: Part A – Motion Down the Incline The cart (mass = 0.40 kg) is released from rest at different heights. The velocity at the bottom is measured and the data is recorded as shown in the table below. Height (m) Velocity at Bottom (m/s) 0.15 1.6 0.25 2.2 0.35 2.7 Questions: Use the principle of conservation of energy to explain why the velocity increases with height. Compare the measured velocities to the theoretical prediction v=2ghv = sqrt{2gh}. Do they agree reasonably well? Part B – Collision at the Bottom After rolling down, the 0.40 kg cart collides head-on with a stationary cart of mass 0.60 kg. After the collision, the two carts stick together and move off with a velocity of 1.0 m/s. Questions: 3. Identify the type of collision (elastic, inelastic, or perfectly inelastic). Justify your answer. 4. Using momentum conservation, show how the final velocity of 1.0 m/s supports the data. 5. Is kinetic energy conserved in this collision? Explain briefly.