Question

Hello,I was looking for some help on this physics question.

Answer 1

Given:

Height = 1.5 m

Given that a book is dropped from a height of 1.5 meters above the floor. How fast is the book moving when it hits the floor?

To find the speed of the book when it hits the floor, apply the kinematics equation:

`vf^2=v_i^2+2ad`

Now, to find the final velocity, vf, we have:

`vf^2=vi^2+2ad`

Where:

vf is the final velocity

vi is the initial velocity = 0 m/s

a is acceleration due to gravity = 9.8 m/s

d is the height = 1.5 m

Thus, we have:

`\begin{gathered} vf^2=0^2+2(9.8)*1.5 \\ \\ v_f^2=29.4 \\ \\ v_f=√(29.4) \\ \\ v_f=5.42\text{ m/s} \end{gathered}`

Therefore, the velocity when the book hits the floor is 5.42 m/s

ANSWER:

5.42 m/s