Two coconuts fall freely from rest at the same time, one from a tree twice as high as the other. if the coconut from the shorter tree takes 2.0 s to reach the ground, how long will it take the other coconut to reach the ground?

Wee can use here kinematics

as we know that

for shorter tree we know that

now since we know that other tree is twice high

So height of other tree is y = 39.2 m

now again by above equation

so the time taken is 2.83 s

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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.