An aeroplane moves along a straight horizontal runway before taking off. It starts from rest at O and has speed 90 m s^-1 at the instant it takes off. While the aeroplane is on the runway at time t seconds after leaving O, its acceleration is (1.5 + 0.012t) m s^-2. Find

1. the value of t at the instant the aeroplane takes off,
2. the distance travelled by the aeroplane on the runway.