Final answer:
The signs for the student's x (position), d (displacement), and v (velocity) can be determined based on the information given.
Step-by-step explanation:
The signs for the student's x (position), d (displacement), and v (velocity) can be determined based on the information given. In this case, the student is commuting from the canal st. station to the 23rd st. station. Let's assume that the canal st. station is the initial position (x0), and the 23rd st. station is the final position (xf).
The position (x) represents the location of the student at any given time. In this case, the position can be positive or negative depending on whether the student is moving to the right or left along the subway line. Let's say moving to the right is considered positive and moving to the left is considered negative.
The displacement (d) represents the change in position from the initial to the final position. In this case, if the student is moving from the canal st. station to the 23rd st. station, the displacement will be positive (+d), indicating a forward or rightward movement.
The velocity (v) represents the rate of change of position. It can be calculated using the formula v = d/t, where d is the displacement and t is the time taken to travel between the two stations. The velocity can be positive (+v) if the student is moving in the positive direction (to the right) or negative (-v) if the student is moving in the negative direction (to the left).