A boy sits 1.0 meters from the center of a merry go round, he spins at 20 rpms , what's the velocity

We know ,

So,

It is also given that, boy sits 1.0 meters away from the center of the merry go round.

Solution :

We know, velocity of at distance r from center in a circular body is given by :

Therefore, the velocity of boy is 2.09 m/s.

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.