You are on a train traveling east at speed of 17.0 m/s with respect to the ground.
1) If you walk east toward the front of the train, with a speed of 1.1 m/s with respect to the train, what is your velocity with respect to the ground?
2) If you walk west toward the back of the train, with a speed of 3.1 m/s with respect to the train, what is your velocity with respect to the ground?
3) Your friend is sitting on another train traveling west at 17.0 m/s. As you walk toward the back of your train at 3.1 m/s, what is your velocity with respect to your friend?
4) Below is some space to write notes on this problem
To answer these questions, we need to understand the concept of relative velocity. Relative velocity refers to the velocity of an object or person in relation to another object or person. In this case, we need to consider the velocity of the person walking on the train with respect to the ground.
1) To find the velocity of the person walking east with respect to the ground, we can simply add the velocity of the train (17.0 m/s) and the velocity of the person with respect to the train (1.1 m/s). The velocity with respect to the ground is therefore:
Velocity with respect to the ground = Velocity of the train + Velocity of the person with respect to the train
Velocity with respect to the ground = 17.0 m/s + 1.1 m/s = 18.1 m/s (east)
2) Similarly, for the person walking west toward the back of the train, we can subtract the velocity of the person with respect to the train (3.1 m/s) from the velocity of the train (17.0 m/s). The velocity with respect to the ground is:
Velocity with respect to the ground = Velocity of the train - Velocity of the person with respect to the train
Velocity with respect to the ground = 17.0 m/s - 3.1 m/s = 13.9 m/s (east)
3) When considering the velocity of the person walking toward the back of the train (3.1 m/s) and the velocity of the friend on another train (17.0 m/s), we need to subtract the velocity of the person walking from the velocity of the friend's train. The velocity with respect to the friend is therefore:
Velocity with respect to the friend = Velocity of the friend's train - Velocity of the person walking
Velocity with respect to the friend = 17.0 m/s - 3.1 m/s = 13.9 m/s (west)
4) Feel free to use the space below to take notes or jot down any additional information related to this problem.