7 The velocity of a particle moving in a straight line is modelled by \(\mathbf { v } = 0.6 \mathbf { t } ^ { 2 } - 2.1 \mathbf { t } + 1.5\) where \(v\) is the velocity in metres per second and \(t\) is the time in seconds.
- Determine the times at which the particle is stationary.
- Find the acceleration of the particle at the first of the times at which it is stationary.
- Find the distance travelled by the particle between the times at which it is stationary.