On a distant planet, a freely falling object has an acceleration of 17m/s2m/s^2 . Calculate the speed that an object dropped from rest on this planet acquires in 2.0ss .

V = Vo + g*t = 0 + 17*2 = 34 m/s.

To calculate the speed of an object dropped from rest on a distant planet, we need to use the equations of motion.

The equation we'll be using is:

v = u + at

Where:
v = final velocity (speed)
u = initial velocity (in this case, 0 m/s as the object is dropped from rest)
a = acceleration (17 m/s^2, given in the question)
t = time (2.0 s, also given in the question)

Now, let's substitute the given values into the equation:

v = 0 + (17 m/s^2)x(2.0 s)

Simplifying the equation, we have:

v = 0 + 34 m/s

Therefore, the speed that an object dropped from rest on this planet acquires in 2.0 s is 34 m/s.