A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
This question is confusing the hell out of me:
A plane is climbing 150m/s at 37 degrees. It must clear a 450 meter tall obstruction that is 1440 meters away. Will the plane make it over?
anonymous
 4 years ago
This question is confusing the hell out of me: A plane is climbing 150m/s at 37 degrees. It must clear a 450 meter tall obstruction that is 1440 meters away. Will the plane make it over?

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1327963156017:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1327963259674:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I figured, if I found out the difference between time = 1 and time = 2, then I would get the rate of climb and distance traveled over one second. So: Found the angle for c which is: sqrt of 450^2 + 1440^2 = 1509 meters. Divide that number by 150m/s = 10.1 seconds for the plane to travel the full 1440 meters.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok yeah let's see now

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0This is algebra, right? not Calculus?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Then I subtract 150 from 1508 to get 1359m and x (base of triangle) and y (height of triangle) plus 37 degrees from angle theta. So cos37 = x/1359 for 1085 meters remaining. 1440 minus 1085 = 355 meters traveled horizontally in one second. This cannot be, the plane is only moving 150m/s, how can it possibly move 355m horizontally in the time it traveled 150m's at 37 degrees. What did I mess up on?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1327963508479:dw just writing my work out here...hold on

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I am pretty sure it is algebra/vector math

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yeah, I think the plane makes it over...let me explain it in, haha, less messy terms

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0okay so you really have two triangles. one is the one you drew, the other is the one I just drew. They are similar, in that you have to figure out what distance in the x direction the plane travels every second

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so if you set up the drawing that I just did a few posts up, you solve for x using cos and you get x = 129.904 meters. so every second, the plane travels 150 m/s up, but the xcomponent of that is 129.904. You could think of the plane traveling in two dimensions: it travels a certain distance horizontally (x) and a certain distance vertically (y) to get the 150 m/s speed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Now, take the hypotenuse from the first triangle (1508.67) and divide that number by 150. You get 10.0578 seconds. So it takes 10.0578 seconds for the plane to travel the hypotenuse of the bigger triangle and clear the obstruction.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Now take that 10.0578 seconds and multiply by the value of x we found in the 2nd triangle, 129.904, and you get 1306.55. So at the plane's current speed, that's the horizontal distance it'll travel to clear that 450 meter obstruction. That's smaller than how far horizontally the plane is from the obstruction (1440), so no plane crash this time. Did that make sense?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0This makes sense, but since the angle is 37 degrees, shouldn't x = 119.80?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Yeah it should. No idea why I typed 30 in

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So let's see now...okay, plane crashes.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Nope, haha. Wrong again. So the time that the plane takes is still the same, so the calculation is actually (cos(37)*150)*10.0578 = 12.04

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0not 12.04. Okay, so I think that's the final answer. No, plane doesn't crash, because it can clear the obstruction with ~ 200 meters to spare

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0horizontally. Heh, sorry!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I see what you are saying, but I am having difficult visualizing it. Thanks though, just need to process it in my head.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The problem I see is with knowing the height once it has traveled 1204.88 meters. It is based on the time, just, not visualizing it yet

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Well, at that point, you know the horizontal distance, right? 1204.88. And you know the hypotenuse...let's draw this bit out...

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1327964487654:dw this gives you the height at that very moment

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0put a little exponent of 2 on the 1204.88 there, I missed that bit

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0when I do that calculation I get x = 907.937 meters. So the height of the plane at that moment is much higher than the obstruction.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Now, I could also do y = 150*tan37 and then multiply that result by 10.0578 to get the height traveled in 10 seconds?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0no, it'd have to be sin. tan is opposite over adjacent. You could do tan, but you'd have to do this: y = 129.904*tan(27)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0But good initiative, yes, you can find the height traveled in one second.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Alright dude (or gal w/e), I need to head off to class. I hope I was of some help
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.