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CSS Applied Mathematics QUESTION #1322
Question 1
For a particle moving with uniform speed along a curved path, which statement is correct?
  • Both tangential and normal accelerations are zero
  • Tangential acceleration is zero; normal acceleration is non-zero✔️
  • Normal acceleration is zero; tangential acceleration is non-zero
  • Both tangential and normal accelerations are non-zero
Correct Answer Explanation
Acceleration has two components: tangential \(a_T=\dfrac{dV}{dt}\) and normal \(a_N=\dfrac{V^2}{\rho}\). If speed \(V\) is constant, \(a_T=0\). However, if the path curves (\(\rho\) finite), \(a_N=\dfrac{V^2}{\rho}\neq0\). So only normal acceleration is present for uniform speed on a curved path.