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

Step-by-step 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{(2 h)/(g)}`

Putting the values, we get,

`T=\sqrt{(2 * 1.19)/(9.8)}=0.49 \mathrm{sec}`

Thereby,

`\text {distance}=\text {velocity } * \text {time}=5 * 0.49=2.45 \mathrm{m}`