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 = 3.00 s. (Indicate the direction with the sign of your answer.) m/s (b) Determine the instantaneous velocity at t = 2.00 s by measuring the slope of the tangent line shown in the graph. (Note that t = 2.00 s is where the tangent line touches the curve. Indicate the direction with the sign of your answer.) m/s (c) At what value of t is the velocity zero? s

Explanation / Answer

a. Average speed =( total distance travelled in that time )/time

V.avg. = 23/3

= 7.33 m/s

b. Instantaneous speed = dx/dt = 13/3.5 = 3.7 m/s

c. Velocity is zero when dx/dt = slop = 0

It is at t= 4 second

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