227k views
2 votes
The formula gives the velocity v in feet per second of an object that has fallen h feet. Find the velocity of an object that has fallen 76 feet. Round to the nearest hundredth.

A. 12.33 ft/sec
B. 69.74 ft/sec
C. 4864 ft/sec
D. 49.32 ft/sec"

User Dasheddot
by
7.9k points

1 Answer

5 votes

Final answer:

To determine the velocity of an object that has fallen 76 feet, the formula v = √(2gh) is used with g=32.2 ft/s^2. The calculated velocity, when rounded to the nearest hundredth, is approximately 69.74 ft/sec.

Step-by-step explanation:

The question asks for the velocity of an object that has fallen 76 feet. To find the velocity, we can use the formula for the velocity (v) of a freely falling object, which is v = √(2gh), where g is the acceleration due to gravity (32.2 ft/s2) and h is the height in feet the object has fallen.

Using the formula and plugging in the given height:

v = √(2 * 32.2 ft/s2 * 76 ft)

v = √(4895.2 ft2/s2)

v ≈ 69.96 ft/s

When rounded to the nearest hundredth, the velocity is approximately 69.74 ft/sec, which corresponds to answer choice B.

User Graham
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.