Hiker Displacement: Find Distance East

  • Thread starter Thread starter ayerski
  • Start date Start date
  • Tags Tags
    Displacement
AI Thread Summary
The discussion focuses on calculating the distance a backpacker walked east after initially hiking west. The backpacker travels 6.44 km west at 2.68 m/s, then turns around and hikes east at 0.447 m/s. The proposed solution involves comparing the time taken for each segment of the journey using the formula t = x/v. An equation is set up to solve for the distance walked east by equating the total time for both directions. The approach aims to find the unknown distance using the average velocity of the entire trip.
ayerski
Messages
4
Reaction score
0

Homework Statement


In reaching her destination, a backpacker walks with an average velocity of 1.34 m/s die west. This average velocity results because she hikes for 6.44 km with an average velocity of 2.68 m/s, due west, turns around, and hikes with an average velocity of .447 m/s due east. How far east did she walk?


Homework Equations


velocity formula number 2


The Attempt at a Solution


Trying to use multiple variables to solve but need a push in the right direction
 
Physics news on Phys.org
I'm not sure if this is correct, but the way I would do it is to compare the times taken for the first two parts of the journey with the time taken for the overall journey.

Using:

t=\frac{x}{v}

gives the following equation which can easily be solved for x to find the distance due east.

\frac{6440}{2.68} + \frac{x}{0.447} = \frac{6440-x}{1.34}

I hope that helps.

Ryan
 

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

Basic Kinematics Problem -- Backpacker's average velocity and distance....
Replies
3
Views
2K
What is the distance the backpacker walked east?
Replies
4
Views
2K
New Velocity/Distance Question 1/25
Replies
4
Views
1K
In reaching her destination, a backpacker walks with an average velocity of 1.21
Replies
3
Views
5K
Finding distance east given west dist., velocities, and average velocity
Replies
3
Views
3K
How Far East Did the Backpacker Walk?
Replies
1
Views
2K
A difficult 1D kinematics problem dealing with displacement and velocity
Replies
3
Views
7K
How Far Did the Backpacker Walk East?
Replies
12
Views
3K
Solving Speed & Velocity: Backpacker Walks 5.58km West & East
Replies
4
Views
2K
Runner's Average Velocity: 0.014 m/s
Replies
17
Views
2K

Hot Threads

Recent Insights

Back
Top