A small block of mass 0.5kg is released from rest at point A which is 5.0m above the lowest point B of a smooth frictionless track. After passing through B the track rises smoothly to point C which is 2.0m above B. Neglect air resistance.
a. (i) Derive an expression for the speed v of the block at any point where its height above B is h.
b. (ii) Calculate the speed of the block at B.
c. (iii) Determine the speed of the block at C.
d. (iv) After leaving point C the block moves vertically upward without any further support. Calculate the maximum additional vertical height it will rise above C.