Trucks travels beneath an airplane .

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Homework Help Overview

The problem involves a truck traveling beneath an airplane that is moving at a specified speed and angle. The task is to determine the speed of the truck required to remain directly below the airplane and to find the vertical component of the airplane's velocity.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of horizontal and vertical components of the airplane's velocity using trigonometric functions. There is uncertainty regarding the direction of the vectors and whether they should be considered positive or negative.

Discussion Status

Some participants have provided calculations for the components of velocity, while others are questioning the directionality of these vectors. There is an acknowledgment that the problem's nature requires positive answers for speed and magnitude, but clarity on vector direction remains a point of confusion.

Contextual Notes

The original poster expresses difficulty in identifying vector directions and the implications of positive or negative signs in their answers. There is also a suggestion that asking additional questions in a new thread might yield more focused responses.

ArcherofScience
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trucks travels beneath an airplane...

Homework Statement



A truck travels beneath an airplane that is
moving 180 km/h at an angle of 39 to the
ground. How fast must the truck travel to stay be-
neath the airplane? What is the magnitude of the vertical component of the velocity of the plane? Answer in units of km/h

Homework Equations



My physics teacher said the question is identifying the horizontal and vertical components. So I had to do Vcostheta and Vsintheta.

The Attempt at a Solution



Vcostheta=180cos39=139.8863 km/h
vsintheta=180sin39=113.2777 km/h

my problem is, I don't understand which direciton the vectors are. Is it going north of east or south of east, or what? I can't identify them in the problem and I can't tell if the answers need a negative sign or positive sign.
 
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ArcherofScience said:

Homework Statement



A truck travels beneath an airplane that is
moving 180 km/h at an angle of 39 to the
ground. How fast must the truck travel to stay be-
neath the airplane? What is the magnitude of the vertical component of the velocity of the plane? Answer in units of km/h

Homework Equations



My physics teacher said the question is identifying the horizontal and vertical components. So I had to do Vcostheta and Vsintheta.

The Attempt at a Solution



Vcostheta=180cos39=139.8863 km/h
vsintheta=180sin39=113.2777 km/h

my problem is, I don't understand which direciton the vectors are. Is it going north of east or south of east, or what? I can't identify them in the problem and I can't tell if the answers need a negative sign or positive sign.

The problem is only asking you questions like "How fast" and "magnitude of". Those are questions where the answer is always positive. You can pick a direction for things to be traveling in if it helps you picture things but it shouldn't affect your answer.
 


ohh ok. i see. thanks :)...i have another question from my hw...is it ok to ask it on this same thread?
 


ArcherofScience said:
ohh ok. i see. thanks :)...i have another question from my hw...is it ok to ask it on this same thread?

Its ok. But it will probably get more attention if you post it in a new thread.
 

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