Parabolic Path I: An object moves along the parabolic path (Figure 10-6q) where distance

Chapter 10, Problem 5

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Parabolic Path I: An object moves along the parabolic path (Figure 10-6q) where distance is in feet and time is in seconds. Figure 10-6q a. Find equations for (t) and (t). b. Calculate (0.5), (0.5), and (0.5). On a copy of Figure 10-6q, plot as a position vector, and plot and with their tails atthe head of . Explain why the three vectorsare 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 = 0.5 s? How canyou tell?d. Verify your answer to part c by finding thetangential and normal components of(0.5). Sketch these components on yoursketch from part b, starting at the tail of. e. At what rate is the object speeding up orslowing down at t = 0.5?f. Calculate (7), (7), and (7). Sketch thesevectors on your sketch from part b. At timet = 7, does the object seem to be speedingup or slowing down?g. Show that at time t = 0 the accelerationvector is perpendicular to the path. How doyou interpret this fact in terms of motion ofthe object at t = 0?