Aboy wants to measure the depth of a well. when he drops a stone from the top of the well, he hears the sound made by the stone hitting the water 1.5 s later. if we can assume that the speed of sound is fast enough to be ignored, how deep is the well?

a. 5.5 m
b. 10 m
c. 11 m
d. 21 m

To solve the problem we apply the motion kinematic equations as well as the techniques used to solve second order polynomial equations.

By definition we know that the height of a body is given by the function

As there is no initial speed or a distance previously traveled, the equation is:

Where,

g = Gravitational acceleration

t = time

h= Height

Rearranging to find the time we have,

Then, the sound of the splash take a time to travel back, therefore, in time, it is necessary to adhere the new term, which converts the final time into:

If we make a similarity to the polynomial equation of the second degree where we have to:

Solving to find x (which is equivalent to ) we have to:

Since the positive distance is what allows us to find the actual distance traveled we have finally to

The correct answer is B.

explanation:

as the height from which the ruler was dropped increased, the speed of the ruler at ryan's hand increased.

the temperature and the pressure affect solubility. temperature affects by changing the properties of the solvent. the increase in pressure increases solubility, the decrease in pressure decreases solubility.