2.1 Homework - Tangent and Velocity Problems (Homework)

1. [-/1 Points] DETAILS SCALCET9 2.1.007. MY NOTES ASK YOUR TEACHER The table shows the position of a motorcyclist after accelerating from rest. t (seconds) 0 2 3 4 5 6 s (feet) 0 4.9 10.7 23.2 50.4 109.5 237.9 (a) Find the average velocity (in ft/s) for each time period. (i) [2, 4] it/s (ii) [3, 4] it/s (iii) [4, 5] it/s (iv) [4, 6] ft/s (b) Plot the points in the table to create a graph of s as a function of t to estimate the instantaneous velocity (in ft/s) when t = 3. (Round your answer to one decimal place.) ft/s Need Help? Read It Watch It2. [l1 Points] SCALCETS 2.1.]IT.DO1.ML MY NOTES ASK YOUR TEACH ER PRACTICE ANOTHER Find the slope of the line through Pand Q. P(0. 0). 0(10. 4) :I Need Help? 3. [l1 Points] SCALCETB 2.1.]IT.DOZ.MI. MY NOTES ASK YOUR TEACH ER PRACTICE ANOTHER Find the slope of the line through Pand Q. PU. *7), Q(*5, 8) Need Help? *7 *7 4. [-/1 Points] DETAILS SCALCET8 2.1.JIT.004.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find an equation of the line that satisfies the given conditions. Through (4, 9); parallel to the line passing through (5, 7) and (1, 3) Need Help? Watch It Master It5. [-/1 Points] DETAILS SCALCET8 2.1.JIT.008. Complete the table. MY NOTES y = 3 - x2 ASK YOUR TEACHER X y (x, y) - 2 - 1 0 1 Use the resulting solution points to sketch the graph of the equation. y 4 10 10 5 5 -10 -5 UX 5 10 -10 - 5 5 10 -5 -5 -10 O -10 O