the formula v= square root 64h 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 92 feet round to the nearest hundredth A.54.26 ft/sec B.13.56 ft/sec C.76.73 ft/sec D.5888 ft/sec

Mathematics · High School · Tue Nov 03 2020

Answered on

Given the formula for velocity on the problem:

 v = √(64h)

Height of object from fall: h = 92 feet

Solution:

Substitute the given value of height in the formula for the velocity of an object.

v =√(64(92))

v = √5888

v= 76.73333

Since we are asked to round to the nearest hundredth, we must determine first where hundredth is. For decimals, the number places starts with; tenths, hundredths, thousandths, ten thousandths, hundred thousandths, and so on. For whole numbers, the number places are as follow in an ascending order: Ones/units, tens, hundreds, thousands, ten thousands, hundred thousands, millions, hundred millions, and so on. In rounding numbers, it must be taken to note that if the number is greater than or equal to 5 then the succeeding number will be added by 1, hence if the number is less than 5, then the succeeding number will remain the same.

The Hundredths value of the answer is 3, and after that is 3, which less than 5 which means the succeeding number remains the same.

Final answer: D. 76/73 ft/sec