The 2-kg sphere is projected horizontally with a velocity of 10 m

The 2-kg sphere is projected horizontally with a velocity of 10 m /s against the 10-kg carriage which is backed up by the spring with stiffness of 1600 N/m. The carriage is initially at rest with the spring uncompressed. If the coefficient of restitution is 0.6, calculate the rebound velocity v′, the rebound angle θ, and the maximum travel δ of the carriage after impact.