Aplane starting from rest (vo = 0 m/s) when t0 = 0s. the plane accelerates down the runway, and at 29 seconds, its velocity is +72.2 m/s. (+ indicates to the right). determine the average acceleration for the plane.

Acceleration,

Explanation:

Given that,

The plane is at rest initially, u = 0

Final speed of the plane, v = 72.2 m/s

Time, t = 29 s

We need to find the average acceleration for the plane. It can be calculated as :

So, the average acceleration for the plane is . 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.