The figure shows a spring loaded plunger (spring constant k = 100lb/in that's used to launch a block A to the other side of the hump at C where the radius of curvature is 8 ft. Point C is at height H = 30 ft. The spring is initially compressed and extends fully to its unstretched length when the block A is launched. The weight of the block is 0.5 lb. If the block is moving at the maximum velocity (in ft/s) at point C at which the block A loses contact, what's the corresponding compression (in inches) at the spring to launch the block? Neglect friction and air resistance. C ww R H