You can use any coordinate system you like in order to solve a projectile motion problem. to demonstrate the truth of this statement, consider a ball thrown off the top of a building with a velocity v at an angle θ with respect to the horizontal. let the building be 44.0 m tall, the initial horizontal velocity be 8.60 m/s, and the initial vertical velocity be 10.5 m/s. choose your coordinates such that the positive y-axis is upward, and the x-axis is to the right, and the origin is at the point where the ball is released.

Explanation:

It is given that,

Height of the building, h = 44 m

Initial horizontal velocity,

Initial vertical velocity,

It can be assumed to find the maximum height of the projectile and time taken to reach the maximum height.

The formula for the maximum height is given by :

g is the acceleration due to gravity

The total maximum height, h' = h + H

The formula for the time of flight is given by :

Hence, this is the required solution.

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.

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