Grade 12Mechanics
The coordinates of a particle moving in xy plane at any time t are 2t,t^2 . Find trajectory of the particle.
The coordinates of a particle moving in xy plane at any time t are 2t,t^2 . Find trajectory of the particle.
2 Answers
Aditya Gupta
Approved Tutor Answer7 Years agohello sulipsa this is an easy ques and can be done as follows:
we are given that x= 2t and y= t^2
so to find the trajectory of the particle, we need to find a relation b/w x and y coordinates.
so we need to eliminate t.
we see that y= t^2 or 4y= (2t)^2
but 2t= x, so
4y= x^2, which is an upward facing parabola.
kindly approve :)
Khimraj
Given co-ordinate of the particle as ( 2t,t^2)
means at ny time t....x = 2t and y = t^2
i.e t = x/2 and so y = ( x/2)^2 or 4y = x^2
Hence the trajectory of the particle is a parabola with equation x^2 = 4y .....
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