A raindrop falls to the ground from a rain cloud at an altitude of 3000 meters. If there were no air resistance, how fast would the raindrop be going?

Assuming the raindrop was stationary relative to the vertical distance to the ground at the start:

D=0.5at where d is distance, a is acceleration and t is time

D is 300 meters

a is 9.8 meter/sec squared

Solve for t in seconds

t = 61.2 seconds

v=at where v is velocity

a is 9.8 meters per second squared

t is 61.2 seconds

solve for v

v = 600 meters per second.

If it had an initial vertical velocity (v0) at the start :

d= 0.5at+v0t

and

v=at+v0