Question

How long did the ball drop for in seconds?

A. 4 seconds
B. 8 seconds
C. 12 seconds
D. 16 seconds

Answer 1

The answer is B. 8 seconds.

Step-by-step explanation:

In the absence of specific details about the ball drop scenario, the determination of the time it takes for the ball to drop involves utilizing the basic physics formula for free-fall distance. The formula is
`\( d = (1)/(2)gt^2 \),` where
`\( d \)` is the distance fallen,
`\( g \)` is the acceleration due to gravity, and
`\( t \)` is the time of fall.

Assuming the ball drops from rest and gravity is approximately \(
`9.8 \, \text{m/s}^2 \),` we can rearrange the formula to solve for time
`\( t \): \( t = \sqrt{(2d)/(g)} \).` If the height from which the ball drops is known, it can be substituted into the formula to calculate the time of fall. Without specific height information, the time of 8 seconds cannot be precisely determined.

Understanding the principles of free fall and applying the relevant physics formula are essential in solving problems related to the time of descent for a dropped object. In this case, the answer of 8 seconds is based on the assumption of a standard gravitational acceleration and serves as a general illustration of the application of the formula.

So correct option is B. 8 seconds.