Question

The Millennium Falcon accelerates from rest at 78,938 m/s^2 for 2.3 seconds. How far did the ship travel during that time?

a. 178,727 m
b. 181,630 m
c. 183,680 m
d. 185,713 m

Answer 1

Using the kinematic equation for constant acceleration, the Millennium Falcon would have traveled 207,815 meters during acceleration. However, since this result doesn't match any of the options provided, there may be an error in the question.

Step-by-step explanation:

To calculate the distance the Millennium Falcon traveled during acceleration, we can use the kinematic equation for constant acceleration:

S = ut + ½at²

where:

• S is the distance traveled,
• u is the initial velocity (0 m/s, since it starts from rest),
• t is the time (2.3 seconds), and
• a is the acceleration (78,938 m/s²).

Substituting the values into the equation gives:

S = 0 × 2.3 + ½ × 78,938 × (2.3)²

S = 0 + ½ × 78,938 × 5.29

S = 0 + 207815.41

S = 207,815 meters

Since 207,815 meters is not an option provided, the student has likely made a typo or an error in writing the question. The correct calculation results in a distance of 207,815 meters.