A400 kilogram cannon fires a 10 kilogram cannonball at 20m/sec. if the cannon is on wheels at what velocity does it move backwards

- 0.5 m/sec

Explanation:

Is an inverse correlation.

1.- If the cannonball of 10 kg moves at a velocity of 20 m/sec.

2.- The cannon that weights much more, 400 kg, will move backwards.

3.- The inverse relationship is:

      400 kg   -   10 kg

            x        - 20 m/sec

4.- x = (20 m/sec) (10 kg)  /400 kg = 0.5 m/sec

5.- But since moves backwards, the value is negative.

the answer is a 3.8cm

explanation:

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.