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west3-G Mector Kinematics 17. (1) The position of a particular particle as a function of time 18. (7 What was the average velocity of the particle in Problem 17 19. (I1) What is the shape of the path of the particle of 20. (II) A car is moving with speed 18.0 m/s due south at one is given by (9.6011+ 8.85-1.0012 k) m. Determine the particles velocity and acceleration as a function of time between t 1.00s and t 3.00s? What is the magnitude of the instantaneous velocity at 2.00s? Problem 17? moment and 27.5 m/s due east 8.00s later. Over this time interval, determine the magnitude and direction of (a) its average velocity, (b) its average acceleration. (c) What is its average speed. [Hint: Can you determine all these from the 8 information given?] 21. (II) At 1-o, a particle starts from rest at x-0, y = 0, ter, and moves in the xy plane with an acceleration i-(4.0i + 3.0j) m/s. Determine (a) the x and y compo- nents of velocity, (b) the speed of the particle, and (c) the of the eposition of the particle, all as a function of time. (d) Eval uate all the above at t 2.0s. 2. (m) (a) A skier is accelerating down a 30.0° hill at 1.80 m/ nitudes of the (Fig, 3-39). What is the vertical component of her accelera tion? (b) How long will it take her to reach the bottom of the hill, assuming she starts from rest and accelerates uniformly, if the elevation change is 325 m? a 1.80 m/s2 30.0° Fig, 3-38, out using
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