2. A 60 kg diver jumps off a diving board with a height of 10 meters and accelerates toward the ground. At the point shown
in the diagram, she has 1,764 Joules of gravitational energy
and 4,116 Joules of kinetic energy. What is the diver's total
mechanical energy at that point?

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.