Question

As you hurry to catch your flight at the local airport, you encounter a moving walkway that is 85.0 m long and has a speed of 2.1 m/s relative to the ground. How long would it take you to cover the 85.0 m length of the walkway if, once you get on the walkway, you immediately turn around and start walking in the opposite direction with a speed of 1.3 m/s relative to the walkway?

Answer 1

I know that the answer is 106 seconds, but i don't know HOW they got that answer

Answer 2

Do you knnow about the concept of relative velocity ?

Answer 3

I have not had a single class on physics. i'm trying to do a summer assignment but it's kind of difficult

Answer 4

so, that'd be a no

Answer 5

\(\color{blue}{\text{Originally Posted by}}\) @ab60093
so, that'd be a no
\(\color{blue}{\text{End of Quote}}\)

??????

Answer 6

i don't know the concept of relative velocity

Answer 7

ok let's see.

Answer 8

This is the situation i guess ?

Answer 9

I guess. I was kind of confused by it myself, but that looks about it

Answer 10

Ok so now we will have to calculate the velocity of man wrt to the ground.

Answer 11

\(\huge \sf Note:\)
Velocity of man i.e 1.3 m/s is given wrt to the walkway.

Answer 12

Velocity of man wrt to the ground will be the resultant velocity of the walkway and the man wrt to the walkway i.e 2.1-1.3 = 0.8m/s

Answer 13

Now, the distance given is 85m so time taken will be 85/0.8 = 106.25 \(\approx\)106 s

Answer 14

okay. hold on. i think I get it but would you mind doing one more practice problem?

Answer 15

it's the same situation but the numbers are changed. As you hurry to catch your flight at the local airport, you encounter a moving walkway that is 85.7 m long and has a speed of 2.4 m/s relative to the ground. How long would it take you to cover the 85.7 m length of the walkway if, once you get on the walkway, you immediately turn around and start walking in the opposite direction with a speed of 1.0 m/s relative to the walkway?

Answer 16

so let me try this and just tell me if I'm doing it wrong

Answer 17

ok

Answer 18

So, in order to find his velocity i'd do the 2.4m/s-1.0m/s and it would be 1.4m/s. And then I'd take the 85.7m and divide that by the 1.4 to get relatively 61 seconds?

Answer 19

yes

Answer 20

okay. Thx so much!

Answer 21

\(\color{red}{\huge\bigstar}\huge\text{You're Most Welcome! }\color{red}\bigstar\)
\(~~~~~~~~~~~~~~~~~~~~~~~~~~~\color{green}{\huge\ddot\smile}\color{blue}{\huge\ddot\smile}\color{pink}{\huge\ddot\smile}\color{red}{\huge\ddot\smile}\color{yellow}{\huge\ddot\smile}\)

Answer 22

btw you can have a look here to understand the concept of relative velocity in a better way
http://www.physicsclassroom.com/class/vectors/u3l1f

Answer 23

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