Question

A 1.5 kg book falls of a table that is 1.5 m from the floor. At what time will the book hit the floor

Answer 1

To find the time it takes for the book to hit the floor, we can use the kinematic equation for free fall:h=12gt2h=21​gt2Where:hh is the height from which the book falls (1.5 m),gg is the acceleration due to gravity (approximately 9.8 m/s²),tt is the time of fall.Rearranging the equation to solve for tt, we get:t=2hgt=g2h​​Now, plug in the values:t=2×1.5 m9.8 m/s2t=9.8m/s22×1.5m​​t=34.9t=4.93​​t≈0.6122t≈0.6122​t≈0.78 st≈0.78sSo, the book will hit the floor in approximately 0.78 seconds.

So, the book will hit the floor in approximately 0.78 seconds.

Step-by-step explanation:

To find the time it takes for the book to hit the floor, we can use the kinematic equation for free fall:h=12gt2h=21​gt2Where:hh is the height from which the book falls (1.5 m),gg is the acceleration due to gravity (approximately 9.8 m/s²),tt is the time of fall.Rearranging the equation to solve for tt, we get:t=2hgt=g2h​​Now, plug in the values:t=2×1.5 m9.8 m/s2t=9.8m/s22×1.5m​​t=34.9t=4.93​​t≈0.6122t≈0.6122​t≈0.78 st≈0.78sSo, the book will hit the floor in approximately 0.78 seconds.