Particle in a time varying curve
Classical Mechanics
Level
5
A particle moves along the curve such that its position vector is given as a function of time as \(\vec{R}=(t^3-4t) \hat { i } +(t^2+4t) \hat { j }+(8t^2-3t^3) \hat { k }\) where \(t\) denotes time. The magnitude of acceleration along the normal at time \(t=2\) can be represented as \(P\sqrt{Q}\)
where \(P,Q\) are integers and \(Q\) square free.
Find \(P+Q\)
by
Tanishq Varshney