A object starts at a position that is 14.0 m [south] of the origin. If the object then moves at a velocity of 2.80 m/s [north] for 9.10 seconds, what is the final position?
To find the final position of the object, we need to calculate the displacement during the 9.10 seconds of motion.
The initial position is 14.0 m south of the origin, so the initial position is -14.0 m. Since the object moves north, we can consider this as a positive displacement.
The velocity of the object is 2.80 m/s north. As the object moves north, we can consider this as a positive velocity.
The displacement during the 9.10 seconds can be calculated using the formula:
displacement = velocity * time
displacement = 2.80 m/s * 9.10 s
displacement = 25.48 m
Adding the initial position to the displacement, we get the final position:
final position = initial position + displacement
final position = -14.0 m + 25.48 m
final position = 11.48 m
Therefore, the final position of the object is 11.48 m north of the origin.