Unit: 1D Kinematics

Prerequisites

Later Topics

None

Multi-Step Problem Preview

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Part 1

A person walks on a moving walkway (like at an airport). They walk at

vperson|walkway=1.1v_{\text{person|walkway}} = 1.1 m/s relative to the walkway.

The walkway moves at vwalkway|ground=0.7v_{\text{walkway|ground}} = 0.7 m/s relative to the ground.

The walkway is 101101 m long.

What is the person's velocity relative to the ground vperson|groundv_{\text{person|ground}} when walking in the same direction as the walkway?

Correct!

Solution:

To find the person's velocity relative to the ground, vperson|groundv_{\text{person|ground}}, we add their velocity relative to the walkway, vperson|walkwayv_{\text{person|walkway}}, to the walkway's velocity relative to the ground, vwalkway|groundv_{\text{walkway|ground}}. Since the person walks in the same direction as the walkway's motion, the two velocities add directly.

The relationship for relative velocity in one dimension is:

vperson|ground=vwalkway|ground+vperson|walkwayv_{\text{person|ground}} = v_{\text{walkway|ground}} + v_{\text{person|walkway}}

Plugging in the given values:

vperson|ground=0.7 m/s+1.1 m/s=1.8 m/sv_{\text{person|ground}} = 0.7 \text{ m/s} + 1.1 \text{ m/s} = 1.8 \text{ m/s}

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