With the position given by x = 2.03 + 2.90t ? 1.00t2,we substitute for t in the

Question

With the position given by x = 2.03 + 2.90t ? 1.00t2,we substitute for t in the equation in order to find the position x at time t = 2.55 s. (a) Find the average velocity in the time interval t = 4.50 s to t = 12.00 s. ________________ 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. _________________ m/s ???? (c) At what value of t is the velocity zero??? how many seconds? _______ s ****the graph graph looks like a parabola with Xmeters going where the Y axis is, and T for time going where the X axis and a tangent line touching the left side of the parabola.

Explanation / Answer

a)average velocity=[-107.17-(-5.17)]/7.5=-13.6m/sec b)v(t)=2.9-2t v at t=6 sec=-9.1m/sec c)2.9/2=1.45sec

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