The formula v = (radical)64h can be used to find the velocity v in feet per second of an object that has fallen h feet. Find the velocity of an object that has fallen 23 feet. Round your answer to the nearest hundredth.

A ) 184 feet per second
B ) 306.93 feet per second
C ) 38.37 feet per second
D ) 736 feet per second

Respuesta :

V = sqrt (64h)
V = sqrt (64 * 23)
V = sqrt 1472
V = 38.366 rounds to 38.37 ft <==

Answer:

The answer is the option C

[tex]V=38.37\ ft/sec[/tex]

Step-by-step explanation:

we have that

[tex]V=\sqrt{64h}[/tex]

In this problem we have

[tex]h=23\ ft[/tex]

Substitute in the formula and solve for V

[tex]V=\sqrt{64(23)}[/tex]

[tex]V=\sqrt{1,472}\ ft/sec[/tex]

[tex]V=38.37\ ft/sec[/tex]