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a particle is moving in x-y plane such that vx=4+4t &vy=4t/if the position of the particle is (1,2).then the equation of trajectory will be ?

a particle is moving in x-y plane such that vx=4+4t &vy=4t/if the position of the particle is (1,2).then the equation of trajectory will be ?

Grade:12

2 Answers

Anil Pannikar AskiitiansExpert-IITB
85 Points
14 years ago

 

Dear Lav Kumar,

equate v from 2 eq. and put value of x and y,  u will get t = -2

substitute t in 4+4t/x  = 4t y

so y = 2x is trajectory.

 

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Askiitians Expert

Anil Pannikar

IIT Bombay

vikas askiitian expert
509 Points
14 years ago

Vx=dx/dt

Vy=dy/dt

dy/dx=1/1+t

y=(t/1+t )x is the required equation

at (1,2) t=-2

 so the equation is y=2x

 

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