Question

A baseball is dropped from the top of a 30 m tall building. How long does it take before the baseball hits the ground?

A. 1.22 seconds
B. 1.73 seconds
C. 2.45 seconds
D. 3.02 seconds

Answer 1

To calculate the time it takes for a baseball to fall from a height of 30 meters, the formula t = sqrt(2s/g) is used. By plugging in the values for distance and gravitational acceleration, the time is determined to be approximately 3.02 seconds.

Step-by-step explanation:

To determine how long it takes for a baseball dropped from the top of a 30 m tall building to hit the ground, we need to use the equations of motion for free-falling objects. The formula that relates distance (s), acceleration due to gravity (g), and time (t) is:

s = 1/2 * g * t^2

Assuming the acceleration due to gravity is approximately 9.81 m/s2,we can rearrange the formula to solve for time (t):

t = sqrt(2s/g)

Plugging in the values gives us:

t = sqrt(2 * 30 m / 9.81 m/s

2

)

Solving this will give us the time it takes for the baseball to hit the ground, which we can then compare to the multiple-choice options provided in the question.

The correct answer is found to be:

D. 3.02 seconds