Determine the direction of vector

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To determine the direction of the vector with components x=7.25 km and y=-3.50 km, the angle is calculated as -25.769 degrees, which indicates a clockwise direction from the +x-axis. However, to express this angle in standard position, it should be converted to a positive angle by subtracting from 360, resulting in 334.231 degrees. The negative y component and positive x component place the vector in the fourth quadrant. A visual sketch can aid in understanding the vector's position. The discussion emphasizes the importance of correctly interpreting angle measurements in physics problems.
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Find the direction of the vector . Let the direction of a vector be the angle that the vector makes with the +x-axis, measured counterclockwise from that axis. x=7.25 km, y=-3.50 km

Please help. I got -25.769, but when I entered it (to the correct sig figs) mastering physics said it was wrong.
 
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Have you tried entering 360 - 25.769 = 334.231?
 
That worked, thank you so much. But why did it have to be subtracted from 360?
 
Do they want the answer in degrees?
 
Yes, but it I got the answer. It had to be subtracted from 360. Thank you anyway.
 
kgianqu2 said:
That worked, thank you so much. But why did it have to be subtracted from 360?

If the y component is negative and the x component is positive, in what quadrant will it be?
Draw a sketch if you don't see it.
 
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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