The rate of change in position at a given point in time is

If only the rate of the change is stated, then it's known as "speed".

If the direction of the change is also stated, then it's "velocity".

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.

grav force prop 1/r squared 2r all squared is 4rsquared 1/4rsquared quartered