A jogger runs in place on a treadmill whose belt moves at (v_{mathrm{EB} x}=+2.0 mathrm{~m} / mathrm{s})

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A jogger runs in place on a treadmill whose belt moves at \(v_{\mathrm{EB} x}=+2.0 \mathrm{~m} / \mathrm{s}\) relative to Earth. Let the origins of the Earth reference frame and the reference frame B moving along with the top surface of the belt coincide at \(t=0\).

(a) What is the jogger's position in the reference frame of the belt at \(t=10\) s?

(b) Use Eq. 6.3 to show that an Earth observer's measurement of the jogger's position is \(r_{\mathrm{Ej} x}=0\) at all instants.


Equation 6.3

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