Draw the graph of as a function of and draw the secant

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The displacement (in meters) of a particle moving in a straight line is given by s = t2 - 8t + 18, where is measured in seconds.

(a) Find the average velocity over each time interval:

(i) [3, 4]

(ii) [3. 5, 4]

(iii) [4, 5]

(iv) [4, 4, 5]

(b) Find the instantaneous velocity when t = 4.

(c) Draw the graph of as a function of and draw the secant lines whose slopes are the average velocities in part (a) and the tangent line whose slope is the instantaneous velocity in part (b).

Reference no: EM13597011

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