A person is strolling along a moving walkway at a constant velocity of + 1.00 m/s with respect to the walkway, which moves at a constant velocity of + 0.50 m/s with respect to the ground. an observer on the ground is walking at a constant velocity of - 0.2 m/s. what is the velocity of the person on the walkway with respect to the observer on the ground?

Question

Cynthia Chung

Mathematics

30 July, 12:26

A person is strolling along a moving walkway at a constant velocity of + 1.00 m/s with respect to the walkway, which moves at a constant velocity of + 0.50 m/s with respect to the ground. an observer on the ground is walking at a constant velocity of - 0.2 m/s. what is the velocity of the person on the walkway with respect to the observer on the ground?

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James Weber · Answer 1

Refer to the diagram shown below.

The velocity of the person on the walkway relative to the ground is the velocity of the walkway (relative to the ground) plus the velocity of the person relative to the walkway.

It is

1.0 + 0.5 = 1.5 m/s

The person on the ground moves at - 0.2 m/s, which is in the opposite direction to that of the walkway and the person on the walkway.

Therefore the velocity of the person on the walkway relative to the person on the ground is

105 - (-0.2) = 1.7 m/s

Answer: 1.7 m/s