4. [-16 Points] DETAILS SCALCET9 2.7.014. The displacement (in feet) of a particle moving in a...

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4. [-16 Points] DETAILS SCALCET9 2.7.014. The displacement (in feet) of a particle moving in a straight line is given by s = (a) Find the average velocity (in ft/s) over each time interval. (i) [4,8] ft/s (ii) [6,8] ft/s (iii) [8, 10] ft/s (iv) [8, 12] ft/s - 5t + 17, where t is measured in seconds. 2 MY NO (b) Find the instantaneous velocity (in ft/s) when t = 8. ft/s (c) Draw the graph of s as a function of t and draw the secant lines whose slopes are the average velocities in part (a). Then select the graph of s with the tangent line whose slope is the instantaneous velocity in part (b). S 10 5 S 5 10 15 -5 -10 -15 0-20 10 5 -5 -10 15 0-20 Need Help? Read it 40 40 30 20 10 40 30 t 5 10 10 15 20 10 10 15 t 5 10 15 4. [-16 Points] DETAILS SCALCET9 2.7.014. The displacement (in feet) of a particle moving in a straight line is given by s = (a) Find the average velocity (in ft/s) over each time interval. (i) [4,8] ft/s (ii) [6,8] ft/s (iii) [8, 10] ft/s (iv) [8, 12] ft/s - 5t + 17, where t is measured in seconds. 2 MY NO (b) Find the instantaneous velocity (in ft/s) when t = 8. ft/s (c) Draw the graph of s as a function of t and draw the secant lines whose slopes are the average velocities in part (a). Then select the graph of s with the tangent line whose slope is the instantaneous velocity in part (b). S 10 5 S 5 10 15 -5 -10 -15 0-20 10 5 -5 -10 15 0-20 Need Help? Read it 40 40 30 20 10 40 30 t 5 10 10 15 20 10 10 15 t 5 10 15