Suppose the position function for a free falling object on a certain planet is given s(t) = -14t^2 + vot + so. a silver coin is dropped from the top of a building that is 1370feet tall. find the velocity of the coin on impact.

The velocity of the coin on impact is equal to

Why?

Since the coin is dropped, its initial velocity is equal to 0. So, to find the velocity, we need to derivate the given function (position). We need to remember that the derivate of the position is the velocity.

So, we have the equation:

Now, derivating, we have:

So,

Then, to calculate the time taken for the coin to impact (height equal to 0), we have:

Since negative times does not exist, we have that the time taken is equal to 9.89 seconds.

Finally, calculating the speed at the impact, we have:

Have a nice day!

the ideal gas law equation is as follows

pv = nrt

where p - pressure

v - volume

n - number of moles

r - universal gas constant

t - temperature

so if the pressure, volume and temperature are already known

we are left with n and r

since r is the universal gas constant that has a known fixed value then r too is known

so we are left with 'n'

once we know temperature volume and pressure

we can find the number of moles of gas present using the ideal gas law equation

this is not my own answer, this is an answer for the same question by the user blahblahmali. i do not claim ownership of this account.