Answer Happy

Data t у x X 1 417 4 7 12 15 18 449 470 500 516 522 21 24 27 30 33 36 528 529 528 524 512 499 475 t(s) y(m) v_y (m/s) 271 0.01666666667 2.72301 305 0.06666666667 2.93197 3.4609 341 0.1166666667 3.0691 2.497725 398 0.2 3.265 2.25285 434 0.25 3.36948 1.4366 466 0.3 3.40866 0.7836 500 0.35 3.44784 0.4571 537 0.4 3.45437 0 572 0.45 3.44784 -0.3265 607 0.5 3.42172 -1.0448 639 0.55 3.34336 -1.6325 675 0.6 3.25847 -2.070942857 721 0.6666666667 3.10175 -2.518714286 757 0.7166666667 2.96462 -2.9385 794 0.7666666667 2.8079 -3.4609 829 0.8166666667 2.61853 -3.918 860 0.8666666667 2.4161 -3.3303 885 0.9166666667 2.2855 -2.0243 900 0.9666666667 2.21367 40 454 43 46 49 52 55 58 430 401 370 350 339
In this lab, we analyze the trajectory of a basketball. Watch the video here. The digitizer will enable us to measure the x and y coordinates of the basketball as functions of time t. Notation: Xo and yo are the values of x and y at t= 0, respectively, vy and Vy are the x-and y components of the velocity: Vxo and v are the values of Vx ond y at t=0; ax and ay are the x- and y-components of the acceleration. The +x-direction is to the right and the +y-direction is up Assuming alr resistance is negligible: 1. What shape do you expect for a graph of xvs line with positive slope 2. Which of these is the expected form of the equation for Co? a (a) x10 - Vox' + XO (b) x - 3x2 + vox + xo, where ay is nonzero (c) x10 -axt + Vox where ay is nonzero (d) A10 =(1/2)0x2 + vox + xo, where ay Is nonzero 3. What shape do you expect for a graph of yvs parabola 4. Which of these is the expected form of the equation for 1920 (a) 0 - Voył+ yo (b) 40 /t2 + voye+ yo, Where dyis nonzero (xoayt+ voy where ay is nonzero (d) x = (12)@y? + voye yo, where ay is nonzero 5. What shape do you expect for a graph of Yx vs 1 Tine with puro wapo 6. What shape do you expect for a graph of vyva line with negative alope v +