If the height of a playground slide is kept constant, will the length of the slide or whether it has bumps make any difference in the final speed of children playing on it

a. True.
b. False.

Assuming that the surface on which the individual slips is free of friction, the theory of the conservation of Energy in which energy is not created or destroyed, only transformed, would be applied 100%. In this case the energy to be transformed would be the potential energy, the product of the height in which the body is and which gradually becomes kinetic energy as the body moves. In this way, the variables that affect the speed change do not include either the length or the surface bumps as long as there are no friction losses. The correct answer is B. False.

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.