The initial velocity of the book before its hits the ground is 14.2 m/s.
The given parameters;
- height of the book above the ground, h = 1.5 m
- time of motion of the book, t = 3 seconds
The initial velocity of the book is calculated as follows;
h = ut + ¹/₂gt²
where;
- u is the velocity of the book
1.5 = 3u + (0.5 x 9.8 x 3²)
1.5 = 3u + 44.1
3u = 1.5 - 44.1
3u = -42.6
[tex]u = \frac{-42.6}{3} \\\\u = -14.2 \ m/s\\\\u = 14.2 \ m/s \ downwards[/tex]
Thus, the initial velocity of the book before its hits the ground is 14.2 m/s.
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