The particle is following the trajectory (x(t), y(t)).
Velocity across x axis = Vx = Rate of change of x = x'(t)
Velocity across y axis = Vy = Rate of change of y = y'(t)
Hence, Velocity, V = Vxi + Vyj = x'(t)i + y'(t)j
Hence, speed = magnitude of the velocity vector V = [Vx2 + Vy2]1/2 = [x'(t)2 + y'(t)2]1/2
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