Final answer:
It would take approximately 3.19 seconds for a science book to hit the ground when dropped from a 51 m tall dorm, calculated using the formula for the distance of an object in free fall and assuming a gravity of 9.8 m/s^2.
Step-by-step explanation:
The question asks how long it will take a science book to hit the ground when dropped from the top of a 51 m tall dorm. This is a physics problem involving the acceleration due to gravity, which we assume to be 9.8 m/s2 on the surface of the Earth. We can calculate the time it takes for the book to fall using the formula for the distance of an object in free fall:
d = ½ * g * t2
where d is the distance, g is the acceleration due to gravity (9.8 m/s2), and t is time in seconds. Rearranging the equation to solve for t, we get:
t = √(2d/g)
Plugging in the values, we have:
t = √(2*51m/9.8 m/s2)
t ≈ √(10.20408163 s2)
t ≈ 3.19 seconds
Therefore, it would take approximately 3.19 seconds for the book to hit the ground.