Answer:
I'll assume that the 1.6 m/s is actually 1.6 m/s^2, otherwise it would not be an acceleration.
6.25 seconds
Step-by-step explanation:
The relationship between a force and the speed of an object is given by:
V = Vo + gt. where V is the velocity, Vo is the initial velocity, g is the acceleration due to gravity, and t is time, in seconds. We'll assume Vo = 0 (the object is dropped from a stationary position). g is 1.6 m/s^2 [this really should be - 1.6 m/s^2 since it is headed towards the moon's surface, which is down. But we are only interested in time, so we'll not use the negative sign]. V is 10 m/s.
V = Vo + gt
10 m/s = 0 + (1.6 m/s^2)t
(1.6 m/s^2)t = 10 m/s
t = (10 m/s)/(1.6 m/s^2)
t = 6.25 seconds