The coordinates of a moving particle at any time ‘t’ are given by x = αt3 and y = βt3. The speed of the particle at time ‘t’ is given by 

(1) α2+β2

(2) 3tα2+β2

(3) 3t2α2+β2

(4) t2α2+β2

Concept Videos :-

#3 -Instantaneous-Velocity--Speed
#4-Solved-Examples-1
#5-Solved-Examples-4

Concept Questions :-

Speed and velocity

(3) x=αt3 and y=βt3 (given)

vx=dxdt=3αt2 and vy=dydt=3βt2

Resultant velocity =v=vx2+vy2=3t2α2+β2  

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