Question

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"

Answer 1

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.