Position vector of a particle moving in x-y plane is given by = 2tî + (3t – 6t²)ĵ. The equation of trajectory of the particle is
y = x (x + 1)
y = x (1 – x)
y = x
Using position vector, separate ‘x’ and ‘y’ components and merge them by substituting value of ‘t’.
Here, x = 2t and y = 3t – 6t²
∴ y = 3() – 6()²
y = 3 – 6
y = [1 – x]
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