A runner is jogging in a straight line at a steady vr= 8.8 km/hr. When the runner is L= 3 km from the finish line, a bird begins flying straight from the runner to the finish line at vb= 17.6 km/hr (2 times as fast as the runner). When the bird reaches the finish

Explanation:

Speed of runner Vr = 8.8 km / h

distance to be covered = 3 km

time taken by runner to reach finish line = 3 / 8.8 h = .34 s

distance covered by the bird during this period = speed of bird x time

= 17.6 x .34 = 5.98 km .

increases it

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.