# The co-ordinates of a moving particle at time 𝑡 are given by 𝑥 = 𝑐𝑡 2 and 𝑦 = 𝑏𝑡 2 . The instantaneous speed of the particle is

Question: The co-ordinates of a moving particle at time 𝑡 are given by 𝑥 = 𝑐𝑡 2 and 𝑦 = 𝑏𝑡 2 . The instantaneous speed of the particle is

(A) 2𝑡(𝑏 + 𝑐)

(B) $2+\left( b+c\right) ^{1/2}$

(C) $2t\left( c^{2}-b^{2}\right)$

(D) $2t\left( c^{2}+b^{2}\right) ^{1/2}$