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

Question

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

    (a) Find the average velocity in the time interval t = 1.00 s to t = 3.50 s. (Indicate the direction with the sign of your answer.)     
      m/s     

    (b) Determine the instantaneous velocity at t = 2 s (where the tangent line touches the curve) by measuring the slope of the tangent line shown in the graph. (Indicate the direction with the sign of your answer.)     
      m/s     

    (c) At what value of t is the velocity zero?   

Explanation / Answer

displacement from t= 1 to t= 3.5

x = 2-11 = -9 m

average velocity = x/t = -9/3.5 = -2.57 m/s

(b)

the slope gives the instantaneous velocity

v = -13/4 = -3.25 m/s

(c)

if the tangent drawn to the curve is parallel to to time axis the velocity = 0

at t = 4 s the tangent drwn is parallel to x

at t = 4 the velocity is zero

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