For detailed description with figs. please refer the attachment.
Prob. 1 : A box slides down a ramp with two straight segments and on leaving the ramp it slides on a rough horizontal surface and then impacting a spring. To determine kinetic energy, velocity at different points and the compression of the spring.
Prob. 2 : A projectile is launched which lands on a hill. To determine max. height, horizontal range, time of flight etc.
Prob. 3 : To determine velocity, acceleration at different points of a two pulley system (free end of the string being pulled by hand)
Prob. 4 : To determine velocity, acceleration at different points of a two pulley system (a load hanging from the free end of the string)
Step by step solution provided.