How Long Does it Take for a Ball to Reach the Ground?

What is the scenario of the ball falling from a table?

A ball rolls horizontally off a table of height 0.6m with a speed of 9m/s. How long does it take for the ball to reach the ground?

Answer

It will take 0.35 seconds for the ball to reach the ground.

When a ball rolls horizontally off a table of height 0.6m with a speed of 9m/s, the time it takes for the ball to reach the ground can be calculated using the equation for free fall motion under gravity.

Given that the vertical motion of the ball is influenced by gravity, we can use the formula [tex]y = \frac{1}{2}gt^2[/tex] to determine the time. Here, 'y' represents the initial height of 0.6m, 'g' is the acceleration due to gravity (9.8 m/s^2), and 't' is the time taken.

By substituting the values into the equation, we get:

[tex]0.6 = \frac{1}{2}(9.8)t^2[/tex]

[tex]0.6 = 4.9 t^2[/tex]

[tex]t = 0.35 s[/tex]

Therefore, it will take 0.35 seconds for the ball to reach the ground in this scenario.