Motion in A Plane

Question: 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

1) \[\sqrt {{\alpha ^2} + {\beta ^2}} \]

2) \[3\,t\sqrt {{\alpha ^2} + {\beta ^2}} \]

3) \[3\,{t^2}\sqrt {{\alpha ^2} + {\beta ^2}} \]

4) \[{t^2}\sqrt {{\alpha ^2} + {\beta ^2}} \]

Solution:

Explanation: Explanation

Non-uniform-circular-motion

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