A Surfer sits on his board waiting as waves go by to catch a ride back to shore. Assuming the waves can be modelled as a sine wave given by h (x,t) = 1.75 sin (0.03 Πx - 0.15 Πt) [m] what is;

a) The maximum vertical movement (rise and fall) that the surfer experiences?

b) The distance between crests of the wave?

c) The angular frequency of the wave?

d) The linear frequency of the wave?

e) Assuming the rider manages to catch one of the waves how fast will they be travelling relative to the shore line?