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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
- U 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 - 2uA 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 P3.45Q/ 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?
- An 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 21Starting 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 IIA 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