Abaseball pitcher throws a baseball horizontally at a linear speed of 49.4 m/s. before being caught, the baseball travels a horizontal distance of 24.7 m and rotates through an angle of 52.7 rad. the baseball has a radius of 3.43 cm and is rotating about an axis as it travels, much like the earth does. what is the tangential speed of a point on the "equator" of the baseball?

Explanation:

As we know that ball travels horizontal distance of 24.7 m with uniform speed 49.4 m/s

so we will have

now in the same time ball is turned by angle

now we know that

now the tangential speed of a point at equator is given as

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.

answera compound;