Classes are canceled due to snow, so you take advantage of the extra time to conduct some physics experiments. You fasten a large toy rocket to the back of a sled and take the modified sled to a large, flat, snowy field. You ignite the rocket and observe that the sled accelerates from rest in the forward direction at a rate of 15.5 m/s² for a time period of 2.90 s. After this time period, the rocket engine abruptly shuts off, and the sled subsequently undergoes a constant backward acceleration due to friction of 5.65 m/s².
After the rocket turns off, how much time does it take for the sled to come to a stop?
By the time the sled finally comes to a rest, how far has it traveled from its starting point?