Calculate the vertical distance an object dropped from rest would cover in 12s if it fell freely without air resistance.

That would be (1/2)gt^2

3600

705.6

To calculate the vertical distance covered by an object dropped from rest without air resistance, we can use the equation of motion for free fall:

distance = (1/2) * acceleration * (time)^2

In this case, the acceleration is due to gravity, which is approximately 9.8 m/s^2.

Substituting the given values into the equation, we have:

distance = (1/2) * 9.8 m/s^2 * (12 s)^2

Simplifying,

distance = 0.5 * 9.8 m/s^2 * 144 s^2

distance = 70.2 m

Therefore, an object dropped from rest without air resistance would cover a vertical distance of approximately 70.2 meters in 12 seconds.