While in a car at 4.47 meters per second a passenger drops a ball from a height of 0.70 meters above the top of a bucket how far in front of the bucket should the passenger drop the ball such that the ball will land in the bucket?

1.7 m

Explanation:

= Velocity of ball in x direction = 4.47 m/s

= Velocity of ball in y direction = 0

g = Acceleration due to gravity =

t = Time taken

= Vertical displacement = 0.7 m

Horizontal displacement is given by

The passenger should throw the ball 1.7 m in front of the bucket.

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.