Question

The formula v = square root of 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 76 feet. round to the nearest hundredth.

Answer 1

V = sqrt (64h)
h = 76

V = sqrt (64 * 76)
V = sqrt 4864
V = 69.742 rounds to 69.74 feet per second <=

Answer 2

69.74 feet per second is the velocity of an object that has fallen 76 feet

Explanation:

As per the statement:

The formula v = square root of 64h gives the velocity v in feet per second of an object that has fallen h feet.

⇒
`v = √(64h)`

where, v is the velocity in feet per second and an object that has fallen h feet.

We have to find the velocity of an object that has fallen 76 feet.

⇒ h = 76 feet.

Substitute in the given formula we have;

`v = √(64 \cdot 76) = √(4864) = 69.7423831` feet per second

Therefore, the velocity of an object that has fallen 76 feet to the nearest hundredth is, 69.74 feet per second