The coordinates of a moving particle at any time $‘t’$ are given by $ x = \alpha t^3$ and $y = \beta t^3$. The speed of the particle at time $‘t’$ is given by
The coordinates of a moving particle at any time $‘t’$ are given by $ x = \alpha t^3$ and $y = \beta t^3$. The speed of the particle at time $‘t’$ is given by
- [AIEEE 2003]
- A
$\sqrt {{\alpha ^2} + {\beta ^2}} $
- B
$3\,t\sqrt {{\alpha ^2} + {\beta ^2}} $
- C
$3\,{t^2}\sqrt {{\alpha ^2} + {\beta ^2}} $
- D
${t^2}\sqrt {{\alpha ^2} + {\beta ^2}} $
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- [JEE MAIN 2020]