A certain freely failing object requires 1.70 s to travel the last 39.0 m before it hits the ground. From what height above the ground did it fall?

To find the height from which the object fell, we can use the equation of motion for free fall:

h = (1/2) * g * t^2

Where:
h is the height
g is the acceleration due to gravity (9.8 m/s^2)
t is the time it takes for the object to fall.

In this case, we know the time (t = 1.70 s) and we need to find the height (h). Let's plug the values into the equation:

h = (1/2) * 9.8 * (1.70)^2

Calculating this equation will give us the height from which the object fell.