A particle moves in the XY-plane according to the law x=kt,y=kt(1-αt), where k and α are positive constants and t is time. The trajectory of the particle is
y = kx
y = x - αx2k
y = - ax2k
y = αx
∵ x=kt⇒t=xk
Now, y=kxk1-α·xk
or y=x-αx2k