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A person riding on the roof of a freight train throws a ball forward. (a) If we ignore air drag and relative to the ground, is the ball moving faster or slower when the train is moving than when it is standing still? (b) Relative to the freight car, is the ball moving faster or slower when the train is moving than when the train is standing still?

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Explanation: A freight train passenger throws a ball forward. Ignore the effect of air drag.

The relative speed in between the train and the ball are given by,

Vr=VtVbwhere, Vt=the velocity of the trainVb=the velocity of the ball\begin{aligned} V{r}&=V_{t}-V_{b}\\ \textbf{where,}\ V_{t}&=\text{the velocity of the train}\\ V_{b}&=\text{the velocity of the ball} \end{aligned}

The train and the ball are in the same direction to each other, hence their velocity is getting subtracted to each other.

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