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The co-ordinates of a moving particle at any time t are given by $x = {αt}^{3} and y = {βt}^{3}$ . The speed of the particle at time t is given by :

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α2+β2

t2α2+β2

3tα2+β2

3t2α2+β2

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detailed solution

Correct option is D

x=αt3 and y=βt3Ux=3αt2 Uy=3βt2U=Ux2+Uy2=3t2α2+β2

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The co-ordinates 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 :

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Ready to Test Your Skills?

free study material

The co-ordinates of a moving particle at any time t are given by $x = {αt}^{3} and y = {βt}^{3}$ . The speed of the particle at time t is given by :