Question

For particle moving in x y plane the coordinates vary with time as x=3t and y=4t+4.the equation of trajectory of the particle is?

Answer 1

Answer:

For equation of trajectory we have to eliminate t .

$x = 3t \: \implies \: t = \frac{x}{3}$

Substitute value of t in second equation

$y = 4t + 4 \\ \\ y = 4(\frac{x}{3} ) + 4 \\ \\ y = \frac{4}{3} x + 4$

So Path is a straight line with slope , 4/3 .