Parabolic Path II: An object moves along the parabolic path (Figure 10-6r) where
Chapter 10, Problem 6(choose chapter or problem)
Parabolic Path II: An object moves along the parabolic path (Figure 10-6r) where distance is in feet and time is in seconds. Figure 10-6r a. Find equations for (t) and (t). b. Calculate (1), (1), and (1). On a copy of Figure 10-6r, plot as a position vector, and plot and with their tails at the head of . Explain why the three vectors are reasonable c. Based on the graphs of the vectors in part b, does the object seem to be speeding up orslowing down at time t = 1? How can you tell?d. Verify your answer to part c by finding thetangential and normal components of (1).Sketch these components on your sketchfrom part b, starting at the tail of . e. At what rate is the object speeding up orslowing down at t = 1?f. Calculate (10.5), (10.5), and (10.5).Sketch these vectors on your sketch frompart b. At time t = 10.5, does the objectseem to be speeding up or slowing down?g. What is the first positive value of t at whichthe object is stopped? What is theacceleration vector at that time? Plot thisvector on your sketch from part b. Surprising?
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