A balloon starts rising from the surface of the Earth. The ascension rate is constant and equal to vo. Due to the wind the bal- loon gathers the horizontal velocity component vx = ay, where a is a constant and y is the height of ascent. Find how the following quantities depend on the height of ascent:
(a) The horizontal drift of the balloon x (y);
(b) The total, tangential, and normal accelerations of the balloon.