Question

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 away does the book land?

Answer 1

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. The book lands at 2.45 m.

Answer: 2.45 m

Explanation:

The book when pushed with the initial velocity of 5 m/s, the book flights down from the high desk which is 1.19 m high. The book takes the projectile motion path and hence to calculate the distance, how far it lands away from the desk can be calculated as follows,

Given that,

v = 5 m/s

h = 1.19 m

As we know that the time can be calculated as the time of flight, by

                                  $T=\sqrt{\frac{2 h}{g}}$

Putting the values, we get,

$T=\sqrt{\frac{2 \times 1.19}{9.8}}=0.49 \mathrm{sec}$

Thereby,

$\text {distance}=\text {velocity } \times \text {time}=5 \times 0.49=2.45 \mathrm{m}$