Acar is rolling backward when it hits the gas. after 8.25 s it is moving forward at 8.62m/s, and is 12.9m to the right of its starting pount. what was its starting velocity ?

Explanation:

The given data is as follows.

        Final velocity (v) = 8.62 m/s,         Initial velocity () = ?

         time = 8.25 sec,          distance (s) = 12.9 m

Hence, formula to calculate the initial velocity is as follows.

                   v =

                 8.62 m/s =

                = 8.62 m/s - 8.25a ......... (1)

Also,   s = ...... (2)

Therefore, substitute the value of from equation (1) into equation (2) as follows.

                s =

               s = ....... (3)  

Now, putting the values of s and t into equation (3) as follows.

         s =  

        12.9 m =  

               a = 1.71  

Therefore, using equation (1) the value of initial velocity will be as follows.

                      =

                              =

                              = -5.49 m/s

Thus, we can conclude that starting velocity of the car is -5.49 m/s.

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.

which piece of furniture will have the most inertia and give the furniture movers the most difficulty in moving?  

answer

a 75kg dining table