How are uniform circular motion maps the same as linear motion maps? check all that apply.

time is represented by dots at 1-second intervals.

start position is represented by an x.

velocity vectors change length as the object’s speed changes.

velocity vectors change direction as the object’s direction changes.

acceleration vectors always point in the same direction.

Time is represented by dots at 1-second intervals.  

Velocity vectors change direction as the object’s direction changes.

Explanation:

I just did the problem and got it right! :)

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.

your answer is, orbit around the nucleus