In Example 2.10, suppose I had taken (x_{mathrm{i}}) to be the (x) coordinate of the object's position

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In Example 2.10, suppose I had taken \(x_{\mathrm{i}}\) to be the \(x\) coordinate of the object's position not at \(t=0\) but at \(t=2.0 \mathrm{~s}\). Show that the expression for the \(x\) coordinate of the position is the same as the one I obtained in Example 2.10b.

Data From Example 2.10:
Figure 2.30 shows the position-versus-time graph for part of the motion of an object moving at constant velocity.

(a) What is the x component of the object’s velocity?

(b) Write an expression for x(t), the x coordinate of the position of the object at an arbitrary time t.

(c) What is the x coordinate of the object’s position at t 25 s?

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