An airplane at an altitude of 2000 feet is descending at a constant rate of 160 feet per second horizontally and 15 feet per second vertically.

a. write the pair of parametric equations that represent the airplane's flight path.

b. after how many seconds will the airplane touch down?

c. what horizontal distance will the airplane have traveled when it touches down on the runway?
in Algebra 2 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

Let x(t) and y(t) be distance horizontally and vertically respectively.

1) x(t) = 160t and y(t) = 2000 - 15t

2) the plane touches ground when y(t) =0

So, 2000 - 15t = 0

or 15t =2000

or t = 2000/15 = 133.33 seconds (approx)

3) The horizontal distance travelled by airplane when the plane touches the ground is

x(133.33) = 160*133.33 = 21333.32 feet (approx)

by Level 7 User (29.9k points)

Related questions

1 answer
asked Nov 18, 2020 in Algebra 2 Answers by anonymous | 103 views
1 answer
asked Apr 6, 2014 in Algebra 1 Answers by Menna Level 1 User (120 points) | 215 views
1 answer
0 answers
Welcome to, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
86,734 questions
93,245 answers
24,131 users