FOR A liquid drop of radius r falling in air with terminal velocity, power delivered by gravitational force is propotional to

P = m g v

Explanation:

Power is defined as the relationship between work and time

        P = W / t

The work is defined by the scalar product of the force and the displacement, in the case of a drop falling the vertical force and the displacement has the same direction, therefore the angle between them is zero and the cosines of zero is one (cos 0 = 1)

       W = F y

the gravitational force is proportional to the weight of the drop  (F = mg)

        W = mg y

we substitute

       P = m g y / t

the terminal velocity of the drop is constant

       P = m g v

well, you would divide 135 by 33 to get your answer. then that is how many seconds it would take. boardman should fly about 132 m or 4.090909090909091 seconds.

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.