A diver stands at the very end of a diving board before beginning a dive. The deflection "d" of the board at a position of "s" feet from the stationary end is given by d=cs²(3L - s) for 0≤s≤L, where L is the length of the board and c is a positive constant that depends on the weight of the diver and on the physical properties of the board. Suppose the board is 10 feet long.

Question

anonymous · Answer

a) If the deflection at the end of the board is 1 foot, find c.
b) show that the deflection is 1/2 foot somewhere between x=6.5 and s=6.6