A rocket sled travels along a straight line. It accelerates at 50m/s2 for 5.0s coasts for 3.0s, then deploys a braking parachute and decelerates at 3.0 m/s2 until coming to a halt. The motion occurs in three different legs.

1. Leg 1:
a. Which type of motion is it?
b. Write the expressions of ?x1 and v1, functions of the time .
c. Calculate ?x1 and v1 at the end of leg 1.

2. Leg 2.
a. Which type of motion is it?
b. Write the expressions of ?x2 and v2 , functions of the time .
c. Calculate ?x2 and v2 at the end of leg 2.

3. Leg 3:
a. Which type of motion is it?
b. Write the expressions of ?x3 and v3, functions of the time.
c. Calculate ?x3 and v3 at the end of leg 3.

4. What is the maximum velocity of the rocket sled?
5. What is the total distance traveled?