Water at a gauge pressure of p = 5.8 atm at street level flows into an office building at a speed of 0.68 m/s through a pipe 5.0 cm in diameter. the pipe tapers down to 2.6 cm in diameter by the top floor, 16 m above, where the faucet has been left open. assume no branch pipes and ignore viscosity.
a. calculate the flow velocity. express your answer to two significant figures and include the appropriate units.
b. calculate the gauge pressure in the pipe on the top floor.

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.