**QUESTION:**

**A spherical raindrop falling under constant gravity, grows by absorption of moisture from it's surroundings. The rate of increase of it's mass is proportional to the instantaneous surface area. Assuming that the raindrop starts with an infinitely small radius, determine its acceleration at time t.**

**SOLUTION:**

**where, **

** **

**Therefore, **

**let us consider the ansatz, **

**So **

**Therefore, **