In a certain road accident a car of mass 2000 kg, travelling south at 6 m/s, collides with a 6000 kg truck, travelling SW at 5 m/s. After the collision the vehicles get tangled up and slide off the road
freely, as one unit. (30 points total)
(a) Find the momentum of the car before the collision. (3 pts)
(b) Find the momentum of the truck before the collision. (3 pts)
(c) Find the momentum of the system before the collision. (12 pts)
(d) Find the momentum of the system after the collision. (6 pts)
(e) Find the velocity of the car-truck unit (the wreckage) after the collision. (6 pts

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.