10. A position function of a particle is given by \( s ( t ) = ( t ^ { 2 } - 4 ) ^ { 2 } \) .
a) Find the moments of time when the particle is in origin.
b) Find the velocity function and the moments of time when the particle is at rest.
10. A position function of a particle is given by \( s ( t ) = ( t ^ { 2 } - 4 ) ^ { 2 } \) .
a) Find the moments of time when the particle is in origin.
b) Find the velocity function and the moments of time when the particle is at rest.
a) t = 2 sec , b) v(t) = \(4t(t^2- 4)\)