Final answer:
To calculate the height of the table from which the book slides off, the formula s = ut + ½at² was used with the given time and acceleration due to gravity, resulting in a height of 0.950 meters.
Step-by-step explanation:
Finding the Height of the Table Top Above the Floor
To find the height from which the physics book was dropped, we can use the kinematic equation for motion under constant acceleration (which, in this case, is due to gravity).
The kinematic equation we'll use is:
s = ut + ½at²
Here, s is the displacement (the height of the table), u is the initial velocity (0 m/s since it starts from rest in the vertical direction), t is the time, and a is the acceleration (9.81 m/s² for gravity). We ignore the horizontal speed of 1.60 m/s because it doesn't affect the vertical motion, and we are ignoring air resistance.
Plugging the given values into the equation:
s = 0×0.440s + ½×9.81 m/s²×(0.440 s)²
s = 4.906 m/s²×(0.1936 s²)
s = 0.950 m
The height of the table top above the floor is 0.950 meters.