You accelerate your car from rest at a constant rate down a straight road, and reach 22.0 m/s in 117 s. the tires on your car have radius 0.320 m. assuming the tires rotate in a counterclockwise direction, what is the angular acceleration of the tires?

For this case, the first thing to do is find the linear acceleration of the car.

We have then:

Where,

v: speed

t: time

Substituting values we have:

We are now looking for angular acceleration.

For this, we use the following equation:

Where,

a: linear acceleration

r: radius of the tires

Substituting values we have:

The angular acceleration of the tires is:

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.

true is the correct answer

hope i