A particle, starting from position (2, 3, 4) was moved at a constant rate in a three-dimensional space to position (3, 4, 5) and finally to (5, -6, 7) for a total time elapsed of 4.23 seconds. Compute for the average velocity vector of the particle and its magnitude. Assume that the positions are measured in meters. Express answers in three decimal places.
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- he veclor equal to -4? 4/Youtaravel northeast Ci.e 45) at 2.0mls for 10s, Then travel Southeast Ci.e, at -450) at tHe sane speed vel for 20s. What 1 Your final poSítion relative to 5) lalso called thedot He tao vertors F=2i+8; and What is the scalar product (t)^pid OF. ー2ペ+399 6 What is te smailange vectors A-3i+4 and B= -59+123? betweenthetusA particule P moves, with constant speed, in a circular trayectory of radio r=3m and completes 1 revolution in 20 seconds. The particule goes through the origin O in t=0s. What is tha aceleration vector in t=5s? (magnitud and direction)The position of a moving particle in vortex is expressed as, x(t) = x0 sin(a√t + bt^2) where x0 isthe position at t = 0, x (t) is the position at time t, and a and b are the constants. Using dimensionalanalysis find the units of the constants a and b?
- Find the magnitude of vector PQ ,where P(2,29) and Q(-2,-1).Problem 1: A block having a mass of m= 14 kg is suspended via two cables as shown in the figure. The angles shown in the figure are as follows: a = 12° and B= 28°. Cable l Cable 2- mdr v(t) = dt %3D This means that if At is sufficiently small and Ar is the displacement during At, we can approximate Ar as v(t) At. (With r(t) given below, nothing prevents you from an exact calculation except the approximation of the numbers. But v(t) At may be easier.) An object moves according to the following function of time. This problem will be purely numerical, although if you wish, you may think of the numbers as numbers of meters, seconds, meters/second, and so forth. x(t) A + Bt2 r(t) = %3D %3D Ct + Dt3 Calculate the distance the object moves during the time interval (t - At/2, t + At/2), at least approximately -- to within three percent. The numbers: • A = 7.9 • B = 5.4 • C = 2.2 D = 8.9 •t 8.8 At = 0.048
- In general it is best to conceptualize vectors as arrows in space, and then to make calculations with them using their components. (You must first specify a coordinate system in order to find the components of each arrow.) This problem gives you some practice with the components. Let vectors A = (1,0, -3), B=(-2,5,1), and =(3,1,1). Calculate the following, and express your answers as ordered triplets of values separated by commas. ▸ Part A ▸ Part B Part C -A+B-C-(0,4,3) Submit 15. ΑΣΦ Part D * Incorrect; Try Again; 9 attempts remaining 3A-2C - Previous Answers Request Answer 195] ΑΣΦ ? BHO ?If u = (,;, 1) and i = (0,–6, 7), find the length and direction of ủ xi and i xu. 2' Length of u x i is ... Direction of u x ở is (If u x u does not have a direction, enter "none".) Length of i x ủ is Direction of v X u is (If v xu does not have a direction, enter "none".)er 2 and 3. However, since the tests lock your answers as you go (as go back and change your ans mplemented that here as well so you can practice time management. You will not be required to show your wo You will have unlimited attempts, so you can take this quiz until you either get the score you want or master the rial. This assignment keeps the highest score, so you can do this over and over until you master the material, wh. ighly recommend. Question 2 I am driving down the street at 11.2 mi/h and suddenly I see a squirrel. I slam on the brakes in 0.62 seconds to avoid hitting the squirrel. Luckily, he got away. With what force in kiloNewtons did the 307 kg car come to a stop? Round to the nearest whole hundredth, and enter the magnitude, which does not include negatives. Next Newton's Law....docx Newton's Law....docx Jillian Wagner...docx Jillian Wagner...docx