Acar traveling at 30 m/s runs out of gas while traveling up a 10 slope. how far up the hill what coast before starting to roll back down?

264.7 m

Explanation:

The net force felt by the car travelling along the slope is equal to the component of the weight parallel to the slope, so:

where

m is the mass of the car

g = 9.8 m/s^2 is the acceleration of gravity

and the negative sign is due to the fact the force is opposite direction to the motion of the car

The acceleration of the car is therefore:

Now we can find how far the car went up the hill by using the equation:

where

v = 0 is the final velocity of the car

u = 30 m/s is the initial velocity

g = -1.7 m/s^2 is the acceleration

d is the distance covered

Solving for d,

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.