First, we determine the acceleration by using the given initial and final velocities and the time.
acceleration = (153 m/s - 58 m/s) / 12 s
= 7.917 m/s²
Then, use the equation below to solve for the distance.
distance = (V² - v²) / 2a
where V is the final velocity, v is the initial velocity and a is the acceleration. Substituting,
d = (153² - 58²) / 2(7.917)
= 1266 m
Thus, the spaceship have traveled 1,266 m.
