Standard +0.3 This is a straightforward application of standard circular motion formulas (radial acceleration = v²/r, transverse acceleration = dv/dt) with simple differentiation and substitution. The question requires recall of two formulas and basic calculus, but involves no problem-solving or conceptual challenges beyond textbook exercises.
1 A particle \(P\) is moving in a fixed circle of radius 0.8 m . At time \(t \mathrm {~s}\) its velocity is \(\left( t ^ { 2 } - t + 2 \right) \mathrm { m } \mathrm { s } ^ { - 1 }\). Find the magnitudes of the radial and the transverse components of the acceleration of \(P\) when \(t = 2\).
Radial component
Transverse component \(\_\_\_\_\)
1 A particle $P$ is moving in a fixed circle of radius 0.8 m . At time $t \mathrm {~s}$ its velocity is $\left( t ^ { 2 } - t + 2 \right) \mathrm { m } \mathrm { s } ^ { - 1 }$. Find the magnitudes of the radial and the transverse components of the acceleration of $P$ when $t = 2$.
Radial component\\
Transverse component $\_\_\_\_$\\
\hfill \mbox{\textit{CAIE FP2 2018 Q1 [3]}}