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A position-time graph for a particle moving along the x axis is shown in the fig

ID: 2162761 • Letter: A

Question

A position-time graph for a particle moving along the x axis is shown in the figure. The divisions along the horizontal axis represent 1.50 s and the divisions along the vertical axis represent 2.0 m. (a) Find the average velocity in the time interval t = 4.50 s to t = 12.00 s. 1 ____________m/s ? (b) Determine the instantaneous velocity at t = 6.00 s (where the tangent line touches the curve) by measuring the slope of the tangent line shown in the graph. 2 ___________m/s ? (c) At what value of t is the velocity zero? 3 ___________ s ?

Explanation / Answer

(a) Find the average velocity in the time interval t = 4.50 s to t = 12.00 s. 1 63 m/s ? (b) Determine the instantaneous velocity at t = 6.00 s (where the tangent line touches the curve) by measuring the slope of the tangent line shown in the graph. 2 90 m/s ? (c) At what value of t is the velocity zero? 38 sec

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