A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
An airplane, flying horizontally at an altitude of 1km.,passes directly over an observer. If the constant speed of the plane is 240kph, how fast is its distance from the observer increasing 30 seconds later?
anonymous
 4 years ago
An airplane, flying horizontally at an altitude of 1km.,passes directly over an observer. If the constant speed of the plane is 240kph, how fast is its distance from the observer increasing 30 seconds later?

This Question is Closed

barrycarter
 4 years ago
Best ResponseYou've already chosen the best response.1If we let t=0 when the plane passes over, the distance from the observer at time t will be Sqrt[1*1 + (240*t)^2] where t is in hours (via Pythagorean theorem). The change in distance is the derivative of this, or 57600t/Sqrt[1+57600*t^2]. 30 seconds means t=1/120 (since we're measuring t in hours), so the change in distance over time is 96*Sqrt[5] kph or about 214.66 kph.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ooops i didn't get the same answer

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0isn't 2*57600t/Sqrt[1+57600*t^2] ???
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.