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CSS Applied Mathematics QUESTION #4141
Question 1
For a particle moving on the ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ with uniform speed $V$, what is the tangential component of acceleration $a_t$?
  • $\frac{V^2}{a}$
  • $0$✔️
  • $\frac{V^2}{b}$
  • $\frac{dV}{dt}$
Correct Answer Explanation
For uniform speed, $\frac{dV}{dt} = 0$. Since tangential acceleration $a_t = \frac{dV}{dt}$, we have $a_t = 0$.