Question

A physics book slides off a horizontal tabletop with a speed of 1.10 m/s. It strikes
the floor in 0.350 s. Ignore air resistance. Find:
a. The height of the tabletop above the floor.
b. The horizontal and vertical components of the book’s velocity

Answer 1

Given:

$v_{0x}=1.10\:\rm m/s$

$t=0.350\:\rm s$

(a) The height of the tabletop above the floor

$$h=\frac{gt^2}{2}=\frac{9.81\times (0.350)^2}{2}=0.601\:\rm m$$

(b) The horizontal component of the book’s velocity

$$v_x=v_{0x}=1.10\:\rm m/s$$

The vertival component of the book’s velocity

$$v_y=gt=9.81\times 0.350=3.43\:\rm m/s$$