3. what is the relationship between the kinetic energy of molecules in an object and the object’s temperature? a. as the temperature increases the kinetic energy of the molecules increases b. the kinetic energy always increase whether the temperature increases or decreases c. as the kinetic energy of the molecules decreases, the temperature increases d. the total kinetic energy of the molecules is not affected by a change in temperature

I think the answer A since temperature is the average kinetic energy of the molecules, so increasing temperature must increase kinetic energy

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.

no. dot product   =0 when vecs at right angles