3. a car is driven at constant velocity along a level highway. indicate the value of the net force and list all the main forces acting on the car to produce the net force. clearly explain what produces or exerts each of the contact forces acting on the car and explain which forces are balanced.

Air-drag and the frictional force are balanced by the force of acceleration.

Explanation:

A car is driven at a constant velocity even at this condition there are forces acting on the car but since these forces are balanced we have a constant velocity of the car.

We have the force of friction acting on the tyres of the car in a direction opposite to the relative motion of the tyre and the ground at the contact surface. This force supports rolling of the tyres which enables the car to move forward.

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.