Question

A train is heading to the right, at a velocity of 30 m/s. At the same time, a passenger on the train heads towards the front of the train at 3 m/s relative to the train. Relative to the ground, what is the velocity of the passenger?

a.) 27 m/s
b.) -33 m/s
c.) 33 m/s
d.) 30 m/s

Answer 1

The velocity of the passenger relative to the ground is found by adding the velocity of the passenger relative to the train to the velocity of the train relative to the ground. Since both are in the same direction, the resultant velocity is 33 m/s.

Step-by-step explanation:

The question asks what the velocity of the passenger is relative to the ground if a train is heading to the right at a velocity of 30 m/s, while a passenger on the train heads towards the front of the train at 3 m/s relative to the train. To find the velocity of the passenger relative to the ground, we simply add the velocity of the passenger relative to the train to the velocity of the train relative to the ground, since both velocities are in the same direction.

The velocity of the train relative to the ground is 30 m/s, and the velocity of the passenger relative to the train is 3 m/s. So, the velocity of the passenger relative to the ground is 30 m/s + 3 m/s = 33 m/s.

Thus, the correct answer is (c) 33 m/s.