Answer: 0.8 m
Step-by-step explanation:
In the vertical direction, the speed is zero, u = 0.
Distance covered in the vertical direction, s = 0.75 m.
The book would fall with acceleration due to gravity in the vertical direction, a = g = 9.8 m/s²
From the equation of motion,
s = u t + 0.5 a t²
Substituting the above values, we will find out the time taken for the book to hit the ground.
⇒0.75 m=0+0.5×9.8 m/s²×t²
⇒t = √0.153 = 0.39 s ≈ 0.40 s
Now, the horizontal distance covered,
d = v×t ⇒d= 2.0 m/s × 0.40 s =0.8 m
Hence, the book falls 0.8 m away from the desk.