7). A particle is moving in three dimensions. Its position vector r is given by r[t] = -4 i + (6- 7 t) j +(1 3 t + 2t2) k where distance components are in meters and time t is in seconds. 7a) What are all 3 components of the velocity vector at t = +5 seconds? 7b) What are all 3 components of the acceleration vector at t +5 seconds?

7). A particle is moving in three dimensions. Its position vector r is given by r[t] = -4 i + (6- 7 t) j +(1 3 t + 2t2) k where distance components are in meters and time t is in seconds. 7a) What are all 3 components of the velocity vector at t = +5 seconds? 7b) What are all 3 components of the acceleration vector at t +5 seconds?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

The figure shows thes initial position i and the final position f of a particle. 4 m, 3 m Part 1 3 m 4 m 3 m 4m 3 m 5 m 2 m/ What is the initial position vector in unit-vector notation? 2 m/ Ky 1 m n 5 m 1 m 3 m x 3 m x m î+ i m Ĵ+ i mk
physics
Mr. Brown takes a walk in the park. He first travels 600. m NW and then turns and walks 800. m @ 20.0° WoS. What is his overall displacement of his walk? Use the triangle method to solve this. Should you use the component method, I will award zero points. I know the answer, I just don’t know how to get it. Answer: 771 m @ 25.1° SoW Thanks!!
Note: Please provide a simple and step-by-step solution.
3. You fly 32.0 km in a straight line in still alr in the direction 35° south of west. (a) Find the distances you would have to point. (This determination is equivalent to finding the components of the displacement along the south and west directions.) (b) Find the distances you would have to fly first in a direction 45.0° south of west and then in a direction 45.0° west of north. These are the components of the displacement along a different set of axes-one rotated 45°. straight south and then straight west to arrive at the same 4. A farmer wants to fence off his four-sided plot of flat land. He measures the first three sides, shown as A, B, and C in Figure 16, and then correctly calculates the length and orientation of the fourth side D. What is his result? yA+ B + C +D= 0 C 3.02 km C. W D = ? km 19 16 7.5 B= 2.48 km A = 4.70 km Figure 9.
Help
Three vectors A, B, and C. A = 5.0 m, towards 60 degrees below +x B = 6.0 m, towards +y C = 1.0 m, towards -x A is crossed with B and then dotted with C. Determine the final answer. a. no answer O b.30.0 m^3 O c. 15.0 m^3 O d.0.0 m^3
Complete the table below: Vector 1 Vector 2 Vector 3 Vector 4 Vector 5 Vector 6 x-component 15m 2cm 5N 3lbf 2cm 3mm y-component Magnitude 100N 25m 5lbf Direction 30° W of N 40° s of E NE Solve what is asked: 1. What is the resultant of Vectors 1, 3 and 5? 2. What is the Vector 4 – Vector 2 + Vector 6? 3. If Vector 7 is 3i + 4j, then what is Vector 3 + Vector 7? 4. If Vector 7 is 3i + 4j, then what is Vector 6 - Vector 7?
please please help!!
1. A particle is moving in 3D space, describedas x = 3t3, y = 2t+5, z = t2 Find the velocity vector of the particle as a function of time, using i, j, k notation Find the magnitude of the velocity as a function of time Find the magnitude of the velocity when t = 4 sec Find the acceleration vector as a function of time, using i, j, k notation Find the magnitude of acceleration when t = 4 sec
Problem 8: Consider two vectors A and B, expressed in unit vector notation as A= aji+ azj and B = bji+ bzj. A. Part (a) Enter an expression for the vector sum A + B in terms of quantities shown in the expressions above. A+B = B 7 8 HOME a i j k 4 5 6 a1 a2 bị 1 2 3 b2 d + END - h VO BACKSPACE CLEAR m DEL Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. Part (b) Enter an expression for the difference vector A - B in terms of quantities shown in the expressions above. Part (c) Enter an expression for the square of the magnitude of the sum vector |A + B| in terms of quantities shown in the expressions above.
3. The position of an object as a function of time is r(t) = (7t³ - t)i + (3t²)ĵ. Find the magnitude and direction of the object's displacement vector AF as a function of time relative to the initial position (at which t = 0) at t = 7.