1. A rocket starting from rest accelerates upward with constant acceleration a_y = 2.0 m/s² for a distance of 2 km before it runs out of fuel. What is its final velocity when it runs out of fuel?

a. 56.6 m/s

b. 63.2 m/s

c. 89.4 m/s

d. 6400 m/s

e. 8000 m/s

2. Suppose instead that the answer to the previous problem (#7) were that the final velocity of the rocket when it runs out of fuel was 100 m/s. Thereafter it is in free fall. What will be the maximum height the rocket reaches for the entire trip, both with fuel and without it? Assume the first part of the trip (travelling with fuel) still reaches a height of 2km (perhaps because a_y was different); add to this the height gained after the fuel runs out.

a. 510 m

b. 2 km

c. 2.51 km

d. 3.0 km

e. 3.51 km

3. An astronomer on Earth watches two asteroids approaching each other at high speed and colliding; as, meanwhile, an astronaut in a spaceship travelling 5,000 kilometers/hour relative to the Earth also watches the asteroids collide; and both record the asteroids' velocities before and after the collision. Which of the following statements is true of the astronomer and astronaut?

a. They will measure the same velocities of the asteroids and these will obey the same equations of Physics.

b. They will measure the same velocities of the asteroids and these will obey different equations of Physics.

c. They will measure different velocities of the asteroids and these will obey the same equations of Physics.

d. They will measure different velocities of the asteroids and these will obey different equations of Physics.