A1000-kg car traveling east at 20 m/s collides with a 1500-kg car traveling west at 10 m/s. the cars stick together after the collision. what is the common velocity of the cars after the collision?

Common velocity will be 2 m/sec

Explanation:

We have given a car of mass 1000 kg is traveling in east at 20 m /sec

So and ( take east direction as positive )

And another car of mass 1500 kg is moving with 10 m/sec in west direction

So and ( west direction will be negative direction )

According to law of conservation of momentum

So common velocity will be 2 m/sec

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.

i think the answer is a and b

i wish you luck