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6 Dec 2018
3. (15 pts) (I) The graph of the functions (t) = is given below. s=s(t) (a) In the figure above draw a secant line joining the points (o, s (0)) and (2, s (2)). (b) Find the slope, msec, of this secant line. (c) Draw a tangent line to the curve s = s(t) at the point where t = 2. (d) Is the slope of this tangent line, mtan, positive or negative ? 12 (II) Suppose s (t) = is the position of an object moving along a line t + 1 at time t 20. (a) How is the average velocity, Vav, between the times t = 0 and t = 2 related to the slope msec from the part (I b)? at t = 2 (b) Is the instantaneous velocity, Vinst positive or negative? Explain.
3. (15 pts) (I) The graph of the functions (t) = is given below. s=s(t) (a) In the figure above draw a secant line joining the points (o, s (0)) and (2, s (2)). (b) Find the slope, msec, of this secant line. (c) Draw a tangent line to the curve s = s(t) at the point where t = 2. (d) Is the slope of this tangent line, mtan, positive or negative ? 12 (II) Suppose s (t) = is the position of an object moving along a line t + 1 at time t 20. (a) How is the average velocity, Vav, between the times t = 0 and t = 2 related to the slope msec from the part (I b)? at t = 2 (b) Is the instantaneous velocity, Vinst positive or negative? Explain.
Lelia LubowitzLv2
6 Dec 2018