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Question 2.3: A particle moves along the x axis. Its position varies with ...

A particle moves along the x axis. Its position varies with time according to the expression x = -4t + 2t² where x is in meters and t is in seconds . ³ The position–time graph for this motion is shown in Figure 2.4. Note that the particle moves in the negative x direction for the first second of motion,
is momentarily at rest at the moment t = 1 s, and moves in the positive x direction at times t > 1 s.

(A) Determine the displacement of the particle in the time intervals t=0 \text { to } t=1 s \text { and } t=1 s \text { to } t=3 s .

(B) Calculate the average velocity during these two time intervals.

(C) Find the instantaneous velocity of the particle at t = 2.5 s.

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