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- The same vectors that are shown in Figure P3.6 are shown in Figure P3.42. The magnitudes are F1 = 1.90f, F2 = f, and F3 = 1.4f, where f is a constant. a. Use the coordinate system shown in Figure P3.42 to find R=F1+F2+F3 in component form in terms of f. b. If Rx = 0.33, what is Ry? c. Check your result by comparing your answer to that of Problem 6. FIGURE P3.42Starting from a location with position vector rx = -19.5 m and r1y = 23.1 m, a rabbit hops around for 10.7 seconds with average velocity vav.x = -2.43 m/s and vav.y = 1.01 m/s. Find the components of the position vector of the rabbit's final location, r2x and r2.y. m r2,x m r2.y5.3. a. Two position vectors are seen. Draw the displacement 2- on a separate sheet. HELP: Use the tip-to-tip drawing rule 7₂ b. Suppose has magnitude 6 and 2 has magnitude 2. What is the magnitude of Ar=2-71 c. Two velocity vectors are seen. Draw the difference 2-₁. Suppose ₁ has magnitude 5 and 2 has magnitude 10. What is the magnitude of A? 32 V1 I
- Q/ A particle moves in an xy plane according to x(1)= -20.00 + 20.00t - 4.00 and y(t) = 25.00 + 17.00t -19.00², with x and y in meters and t in seconds. At t= 10 s, a. What is the particle velocity vector vì nunit vector notation? b. What is the particle acceleration vector đìn unit vector notation?A rectangular parallelepiped has dimensions a, b, and c as shown in Figure P3.45. (a) Obtain a vector expression for the face diagonal vector R,. (b) What is the magnitude of this vector? (c) Notice that R, ck, and R, make a right triangle. Obtain a vector expression for the body diagonal vector R2. b Ro R1 Figure P3.45U 9 P . Vector t 9 Match the vectors p, q, 7, 3, and t with one of the combinations of the u and vectors from the graph. S V Р 1 S Q Vector Combination a. 3u - v b. u + v c. 3u d. e. v - 2u
- Starting from a location with position vector r1x = -18.3 m and r1.y = 21.7 m, a rabbit hops around for 13.7 seconds with average velocity vav.x = -2.47 m/s and vavy = 1.73 m/s. Find the components of the position vector of the rabbit's final location, r2.x and r2.y. r2,x r2.y IIAn object starts to move from the rest at t = 0 and its acceleration vector is given as Quiz na d = (2t +8t) î + (12 t + 5t2 + 2) ĵ m/s². of What is the magnitude of the velocity vector, in m/s, at time t = 1 s? %3D 10 stion O 16.28 Finish atte O 8.14 Time left O 24.41 O 4.07 48.83 Next page 21A postman leaves the post office and drives 1.6 km in the north direction. He then drives in a direction 60.0° south of east for 5.9 km (see Figure) North 60° + East Post office What is his resultant displacement from the post office (in vector form)? O a. -3.51 mi+ 2.95 mj O b. 5.90 mi+ 1.60 mj O c. 2.95 mi+-3.51 mj O d.-1.35 mi+5.11 mj O e. None of the above
- Given vectors P = 4i - 2j + 5k ; Q = -i + 3j - 6k ; find QxP. a. -3i + 19j - 10k b. -3i -19j + 10k c. 3i - 19j + 10k d. 3i + 19j - 10kA speedboat moves on a lake with initial velocity vector vx = 8.65 m/s and vLy = -2.21 m/s, then accelerates for 6.69 s = 0.107 m/s². What are the components of the speedboat's final %3D at an average acceleration of aav.x = -0.108 m/s² and aav.v velocity, v2.x and v2.y? m/s U2,x m/s U2,y Find the speedboat's final speed. m/s final speed: IIA body moves in space , the location vector r 2 = 2t i +tj +2 k m, How much the velocity of it at 2 second V = m/sec (2 aic aïcw ya ps ?) ثانيه Select one: a. 10.05 mls b. 8.06 m/s c. 9.03 m/s d. 7.02 m/s