Waves on the surface of a tank are observed to travel at a speed of \(2 \mathrm{~m} / \mathrm{s}\). How fast would these waves travel if

(a) the tank were in an elevator accelerating downward at a rate of \(4 \mathrm{~m} / \mathrm{s}^{2}\),

(b) the tank accelerates horizontally at a rate of \(9.81 \mathrm{~m} / \mathrm{s}^{2}\),

(c) the tank were aboard the orbiting Space Shuttle? Explain.