16 % 9:21 p.m. webassign.net T-Mobile LTE 5. 3 points SerPSE10 2.2 P.005. My Not

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16 % 9:21 p.m. webassign.net T-Mobile LTE 5. 3 points SerPSE10 2.2 P.005. My Notes Ask Your Teacher A position-time graph for a particle moving along the x axis is shown in the figure below x (m) 12 10 8 t (s) 0 12 3 45 6 (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-2.00 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? Need Help?Read It

Explanation / Answer

a)

v_avg = (x2 - x1)/(t2 - t1)

= (2 - 11)/(3.5 - 1)

= -3.6 m/s

b) instantaneous velocity, v = slope of the tangent

= (y2 - y1)/(x2 - x1)

= (0 - 11)/(3.5 - 1)

= -4.4 m/s

c) at time t = 4s, velocity is zero.

because, at time t = 4s, slope of the tangent = 0

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