# MATH

posted by .

The time (t, in seconds) for a free-falling object to fall d feet is described by the mathematical formula:

t=d over the square root of 16

If a worker accidentally drops a hammer from a building and it hit the ground 4 seconds later, from what height was the hammer dropped

• MATH -

sqrt(16)=4
t=d/4
t=4
4=d/4
d=16
the hammar was dropped from 16 feet

• MATH -

your formula for time should have been:
t = √(d/16) or d = 16t^2

when t=4, then
d = 16(4^2) = 64 feet

## Similar Questions

1. ### Algebra I

The distance an object falls is directly propotional to the square of the time it has been falling. Afterr 6 seconds it has fallen 1296 feet. How long will it take to fall 2304 feet?
2. ### Algebra

This has me stumped The approximate time in seconds, that it takes an object to fall d feet under the influence of gravity is given by mathematical model t=square root d/16. A rock dropped from a cliff hits the ground 6 seconds later. …
3. ### math

The time t (in seconds) that it takes for an object to fall a distance of s feet is given by the formula t = radical symbol s /4 In some places, the Grand Canyon is one mile (5,280 feet) deep. How long would it take a stone dropped …
4. ### math

The time t (in seconds) that it takes for an object to fall a distance of s feet is given by the formula t = radical symbol s /4 In some places, the Grand Canyon is one mile (5,280 feet) deep. How long would it take a stone dropped …
5. ### algebra

We can determine the time it would take an object to fall (if there were no air resistance) by using the formula where d is the distance. A. How long does it take a quarter dropped from a 35 foot roof to reach the ground?
6. ### Math

Please help!! We can determine the time it would take an object to fall (if there were no air resistance) by using the formula where d is the distance.t=1/4sq.root of d, d being the distance 1. We can determine the time it would take …
7. ### math

a contruction worker drops a hammer from a height of 50 feet. after how many seconds will the hammer land on the ground?
8. ### algebra

5. 16t2 gives the distance in feet a free-falling object falls in t seconds. 16t2 + 10t gives the distance an object falls in t seconds when it is thrown down with an initial velocity of 10 feet per second. Use this polynomials to: …
9. ### algebra 1

The formula for the height of a falling object is shown below, where h is the height of the object in meters, t is the time in seconds, and k is the height, in meters, from which the object began its fall. h = –4.9t² + k If a rock …
10. ### math

The approximate distance,S, in feet that an object falls in t seconds when dropped from a height can be found by using the formula S = 16t^2.In 8 seconds, the object will fall a. 256 feet b. 1,024 feet c. 1,084 feet d. 2,048 feet e. …

More Similar Questions