Question

On the Moon, gravity is weaker than on Earth. A stone falls with an acceleration of 1.6 m/s?. How long will it take

to reach a speed of 10 m/s?

Answer 1

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