Ella Vader (Darth's other daughter) rides a Ferris wheel. As the wheel turns, her distance, y, from the ground, measured in feet, varies sinusodially with time, t, measured in seconds, according to the equation y = 30 + 25sin(π/40(t + 3)).

a) When the last seat was filled, and the Ferris wheel started moving at t = 0, how high above the ground was Ella at this time?

b) How high above the ground was Ella at t = 1 second?

c) How many seconds does it take to go around once?

d) If the rides lasts 390 seconds, how many times is she 50 feet in the air? What are the times?