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Grade 11Vectors

when going east at 10 kmph a train moving with const. velocity appears to be moving exactly north east . when my velocity is increased to 30 kmph east it appears to be moving north.

a.what is the velocity of train in noth?

b.what is the velocity of train along east?

c.what speed should i move north so that train appears to move exactly south-eadt?

please provide commplete solution in details.. :)

shalini

12 Years agoGrade 11

3 Answers

Arun Kumar

12 Years ago

Hello
You should apply concept of reletive velocity here

$\\\vec v_{man}=10\vec i \\\vec v_{train}=x\vec i +y \vec j \\\vec v_{train,rel}=(x-10)\vec i +y \vec j \\=>x-10=y$ since both component should be equal$ \\$ to be in in north east$ \\\vec v_{train,rel}=(x-30)\vec i +y \vec j \\=>x-30=0 \\=>x=30 =>y=20 \\\vec v_{train}=30\vec i +20 \vec j$

Now you can find everything.
Thanks & Regards
Arun Kumar
Btech IIT Delhi
Askiitians faculty

shalini

12 Years ago

Thanq very much Sir :)

but why should x-10 be equal to y??? :/

shalini

12 Years ago

Ok ok..is it because angle is 45 degree so...x- component and y- component must b equal????.. Am I right Sir???

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