Trucks travels beneath an airplane .

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To keep pace with an airplane traveling at 180 km/h at a 39-degree angle, a truck must travel horizontally at approximately 139.89 km/h. The vertical component of the airplane's velocity is about 113.28 km/h. The discussion emphasizes the importance of understanding vector directions, noting that the answers to the problem should be considered positive. It is suggested that while users can ask additional questions in the same thread, starting a new thread may yield better responses. The focus remains on solving the physics problem accurately.
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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.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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