The tangential component of acceleration is defined as \(a_{\vT} = \va \cdot \vT \text{,}\) while equation (10.6.1) establishes that \(a_{\vT} = \frac{d\text{(speed)}}{dt}\) is also true. Use these formulas to determine whether \(a_{\vT}\) can be zero. Either explain why \(a_{\vT}\) is always nonzero or describe scenarios in which \(a_{\vT}=0\text{.}\)
The normal component of acceleration is defined as \(a_{\vN} = \va \cdot \vN \text{,}\) while equation (10.6.1) establishes that \(a_{\vN} = (\text{speed}) \vecmag{\frac{d\vT}{dt}}\) is also true. Use these formulas to determine whether \(a_{\vN}\) can be negative. Either explain why \(a_{\vN}\) is negative or describe scenarios in which \(a_{\vN}\lt 0\text{.}\)
