Question

A ball rolls at 13 m/s off a table that is 0.7 meters high. How far (in meters) from the edge of the table does the ball land?

a) 3.3 meters
b) 4.6 meters
c) 7.5 meters
d) 11.9 meters

Answer 1

The distance (in meters) from the edge of the table the ball will land is 4.9 meters (None of the option)

How to calculate the distance from the table the ball will land?

Given the various parameters from the question, the distance (in meters) from the edge of the table the ball will land can be calculated as illustrated below:

• Horizontal velocity (u) = 13 m/s
• Height of table (h) = 0.7 meters
• Acceleration due to gravity (g) = 9.8 m/s²
• Distance from the table the ball will land (s) =?

s = ut

But

`t = \sqrt{(2h)/(g) }`

Thus, we have

`s = u\ *\ \sqrt{(2h)/(g)} \\`

Input the parameters from the question, we have

`s = u\ *\ \sqrt{(2h)/(g)} \\\\\\s = 13\ *\ \sqrt{(2\ *\ 0.7)/(9.8)} \\\\\\s = 4.9\ meters`

Thus, the distance from the table is 4.9 meters. None of the options is correct