Question

A tennis ball rolls off the edge of a table the table is .55 m tall and the tennis ball in tennis ball lands .12 m away from the table what is the vertical acceleration due to gravity

Answer 1

The vertical acceleration due to gravity is approximately 0.218 m/s^2.

Step-by-step explanation:

To calculate the vertical acceleration due to gravity, we can use the formula:

h = (1/2)gt^2

Where:

• h is the vertical distance of the object from the starting point
• g is the acceleration due to gravity (unknown)
• t is the time it takes for the object to fall (unknown)

In this case, the object falls for a height of 0.55 m and lands 0.12 m away from the table. Since the horizontal distance does not affect the vertical acceleration, we can ignore it and focus on the height alone. Plugging in the values, we have:

1. 0.55 = (1/2)(g)(t^2)
2. 0.12 = (1/2)(g)(t^2)

Dividing the second equation by the first equation, we can eliminate t and solve for g:

0.12/0.55 = g/g

This simplifies to:

0.21818181818181818 = g

So, the vertical acceleration due to gravity in this scenario is approximately 0.218 m/s^2.