Question

A small object is released from rest and falls 1.00×10² feet near the surface of the earth. Neglect air resistance. How long will it take to fall through the 1.00× 10² feet mentioned?

a. 2.49 s
b. 10.0 s
c. 3.12 s
d. 4.50 s
f. 6.25 s

Answer 1

The time it takes for an object to fall through a given height can be calculated using the formula: t = sqrt(2h/g), where t is the time, h is the height, and g is the acceleration due to gravity. Plugging in the values, the time is approximately 4.50 s.

Step-by-step explanation:

To calculate the time it takes for an object to fall through a given height, we can use the formula:

$t = \sqrt{(\frac{2h}{g})}$

Where:

• $t$ is the time
• $h$ is the height
• $g$ is the acceleration due to gravity (approximated as 9.8 m/s² on Earth)

Plugging in the values:

$t = \sqrt{(\frac{2(1.00 \times 10^2)}{9.8})} \approx 4.50$ s

Therefore, the correct answer is 4.50 s (option d).