The petronas twin towers in malaysia and the chicago sears tower have heights of about 452 m and 443 m respectively. if objects were dropped from the top of each, what would be the difference in the time it takes for the objects to reach the ground?

0.09 s

Explanation:

From the second equation of motion,

Here, u is the initial velocity, a is the acceleration due to gravity, t is time taken, and S is the total displacement or distance.

From the given problem,

initial velocity is zero for both the case.

And the distance of twin  tower of malaysia is,

And the distance of Sears tower of Chicago is,

Now,rearrange the distance equation for t.

So time difference.

Therefore, the difference in time, object will reach the ground is 0.09 s

the answer is b ) square root of 5

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.