SOLUTION: An airplane climbs 100 feet during the first second after takeoff. In each succeeding second it climbs 100 feet more than it climbed during the previous second. How many seconds do
Algebra.Com
Question 1034059: An airplane climbs 100 feet during the first second after takeoff. In each succeeding second it climbs 100 feet more than it climbed during the previous second. How many seconds does it take for the plane to reach an altitude of
12,000 feet above its takeoff height?
Answer 15 seconds (How?)
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Well, the situation describes the series
100 + 200 + 300 + 400 + ...where the total is the overall height of the airplane...we want to know when this total exceeds 12000...
Such an arithmetic series and sum can be described mathematically as
Now plug in to get
Continue solving for n...
n = 15
RELATED QUESTIONS
After takeoff, an airplane climbs at an angle of elevation of 11° with the ground. To... (answered by Alan3354,Edwin McCravy)
4) An airplane at 20,000 feet begins to descend at 22 feet per second. Let x represent... (answered by macston)
Suppose an airplane climbs 15 feet for every 40 feet it moves forward. What is the slope... (answered by robertb)
An airplane climbs at an angle of 11 degrees with the ground. Find the ground distance it (answered by stanbon)
An airplane climbs at an angle of 11° with the ground. Find the ground distance it has... (answered by mananth)
An airplane climbs at an angle of 30 degrees with the ground. Find the distance it has... (answered by Fombitz)
an airplane climbs at an angle of 12 degrees with the ground. find the horizontal... (answered by Boreal)
An airplane climbs at takeoff with slope m=4/9. How far in the horizontal direction will... (answered by opeodu)
Two planes take off at a ny airport. The first plane climbs at an angle of 45 degrees... (answered by ankor@dixie-net.com,Alan3354)