The co-ordinates of a moving particle at any time t are given by x = αt3and y = βt3. The speed of the particle at time t is given by
(1) 3t√(α2 + β2)
(2) 3t2√(α2 + β2)
(3) t√(α2 + β2)
(4) √(α2 + β2)
Answer is (2) 3t2√(α2 + β2)
νx = dx/dt = 3 ∝ t2. or νy = dy/dt = 3βt2.
ν = √(ν2x + ν2y) = 3t2√(α2 +β2)