What Is the Camper's Displacement?

  • Thread starter Thread starter maxtheminawes
  • Start date Start date
  • Tags Tags
    Travel
AI Thread Summary
The discussion revolves around calculating the camper's displacement after traveling in three different directions. The camper's movements include traveling 80m at 30°, 110m at 160°, and 42m at 195°. The calculations for the resultant x and y components (Rx and Ry) were initially correct, but an error was identified in the third segment of the travel. Additionally, there was confusion regarding the square root of negative numbers, which should not occur in this context. The final displacement calculated was approximately 235.77m, highlighting the importance of accuracy in vector addition.
maxtheminawes
Messages
20
Reaction score
0

Homework Statement


T camper went 80m in the direction of 30°. He then turned and traveled 110m in the direction of 160°. Finally, the camper walked 42m at 195°. What was the camper's displacemnt

Homework Equations


sqrt{Rx^2+Ry^2}


The Attempt at a Solution


Rx
80cos30
110cos160
190cos45
Rx=110.83

Ry
80sin30
110sin160
195sin42
Ry=210.10

(sq. root of (110.83^2+208.1^2))=235.77m


 
Physics news on Phys.org
You have the right method. But You've got the third section of his travel wrong. It was 42m at 195 degrees, but you've used something different in your answer.
 
thnxs i didn't realize that i made a mistake. i thought i was doing something wrong.
 
How do you do the square root of a negative? I'm assuming you just make it positive but I'm not sure.
 
why do you want to square root a negative number? That shouldn't happen in this question.

Do you mean what is a negative number squared?
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
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}...
View full post »

Similar threads

Component vectors positive or negative and angles positive or negative
Replies
5
Views
20K
What Is the Magnitude and Direction of Eduardo's Displacement?
Replies
1
Views
2K
Use either trigonometry or components to find displacement
Replies
1
Views
4K
Calculating direction of travel on a clock face
Replies
6
Views
2K
Acceleration, magnitude, displacement.
Replies
2
Views
8K
What Is the Person's Resultant Displacement After the Walk?
Replies
3
Views
7K
What is the Magnitude of Displacement for Various Directions and Distances?
Replies
6
Views
37K

Hot Threads

Recent Insights

Back
Top