A book is pushed with an initial horizontal velocity of 5.0 meters per second off the top of a 1.19 meter high desk. How far awa

Question

7 days ago

8

y does the book land?

1 answer:

Yuliya22 [1.1K] · Answer 1 · 2026-02-26T11:45:53+03:00

Answer:

2.45 m

Explanation:

To begin, we need to determine the book's time of flight, utilizing the equation for vertical motion:

$h=\frac{1}{2}gt^2$

with

h = 1.19 m representing the height traveled by the book

g = 9.8 m/s^2 being the gravitational acceleration

t symbolizing the time of flight

By solving for t,

$t=\sqrt{\frac{2h}{g}}=\sqrt{\frac{2(1.19)}{9.8}}=0.49 s$

Next, we calculate the horizontal distance the book travels, defined by

$d=v_x t$

where

$v_x = 5.0 m/s$ denotes the horizontal velocity

t = 0.49 s being the time of flight

By substituting,

$d=(5.0)(0.49)=2.45 m$

Thus, the book lands at a distance of 2.45 m.