Aman is shot out of a cannon towards the center of an 80 foot long catching net 200 feet away. unfortunately, the person in charge of aiming the cannon did not consider the crosswind. the man fired out of the cannon is propelled at 40 miles per hour towards the center of the net. if the crosswind pushes him perpendicular to this path at 10 mph, (but parallel to the ground) will the man hit the net? if not, by how many feet will he miss?

Explanation:

The center of the catching net will be at a distance of 200 + 40 = 240 ft away from the canon. The man is fired towards the center at a speed of 40 miles per hour .

40 miles = 40 x 5280 ft

40 miles per hour = 40 x 5280 / 60 x 60 = 58.67 ft per second.

Time taken to go to center

= distance /speed

= 240 / 58.67

= 4.09 s

Air is blowing at the rate of 10 miles per hour or

58.67 / 4 = 14.67 ft /s

Deviation due to air

14.67 x 4.09

= 60 ft approx.

answer: electrons

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.