An ice sled powered by a rocket engine starts

from rest on a large frozen lake and accelerates
at 15.0 m/s
2
. At t1 the rocket engine is
shut down and the sled moves with constant
velocity v for another t2 s. The total distance
traveled by the sled is 5.60 × 10
3 m and the
total time is 96.7 s.
Find t1.