The position vector r of a particle moving in the x-y plane is given by r= [(5t + 7) mli + [(2t3 - 10t2) mlj, where t is in seconds, and i and j are the unit vectors in the positive-x and positive-y directions, respectively. Which of the following is CLOSEST TO the direction of the particle's motion at t = 2.00 s, as an angle counterclockwise from the positive x-axis? THE ACTUAL ANGLE DOES NOT APPEAR BELOW.

The position vector r of a particle moving in the x-y plane is given by r= [(5t + 7) mli + [(2t3 - 10t2) mlj, where t is in seconds, and i and j are the unit vectors in the positive-x and positive-y directions, respectively. Which of the following is CLOSEST TO the direction of the particle's motion at t = 2.00 s, as an angle counterclockwise from the positive x-axis? THE ACTUAL ANGLE DOES NOT APPEAR BELOW.

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

Obtain expressions in component form for the position vectors having the following polar coordinates. (a) 12.2 m, 140° counterclockwise from the +x axis R = m (b) 3.80 cm, 80.0° counterclockwise from the +x axis R cm (c) 20.0 in., 222° counterclockwise from the +x axis in.
The magnitudes of the four displacement vectors shown in the drawing are A = 20.0 m, B = 15.0 m, C = 12.0 m and D = 36.0 m. Determine the magnitude and directional angle for the resultant that occurs when these vectors are added together. (answer: 13.8 m at 66° below the -x axis) %3D %3D 20.0 35.0 50.0
Each of the following vectors is given in terms of its x- and y-components. Find the magnitude of vector Ã and the angle it makes with respect to the positive x-axis, measured counterclockwise, when Ax = 4.00 and Ay = -4.00. A = Find the magnitude of vector B and the angle 0 it makes with respect to the positive x-axis, measured counterclockwise, when Bx = -3.00 and By = 3.00. B = 0A = C = ов = Find the magnitude of vector and the angle 0c it makes with respect to the positive x-axis, measured counterclockwise, when Cx = 0.00 and Cy = -2.00. 0c =
For the vectors a (a) Number as (b) a magnitude and (c) an angle (relative to î in the range of (-180°, 180°]). Now give bain (d) unit-vector notation, and as (e) a magnitude and (f) an angle (relative to î in the range of (-180°, 180°]) (b) Number (c) Number (d) Number = (3.0 m )î + (4.0 m )ĵ and 7 = (5.0 m )î + ( − )î + ( (f) Number i (e) Number i î + Units Units Î+ Units − 2.0 m )î,give a + b in (a) unit-vector notation, and Units ◄► ◄► Ĵ Units Ĵ Units
Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as (c) a magnitude and (d) an angle relative to +x (including sign plus or minus). P : 12.0 m, at 27.0° counterclockwise from +x Q : 10.0 m, at 14.0° counterclockwise from +y Ř :14.0 m, at 30.0° clockwise from -y S : 17.0 m, at 38.0° counterclockwise from -y (a) Number i Units (b) Number Units (c) Number Units (d) Number Units
For the following vectors find ; 1 - Vectors sum , 2 Magnitude and direction of the resultant vectors ; a = 4i + ( - 3 ) j , b = ( -3 ) i + 2j , c = 2i + ( - 6 ) j , d = 7i + ( - 8 ) j , e = 9i + j
At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 8.50 yards, back (in the −x-direction), then 15.0 yards parallel to the y-axis (in the −y-direction). He then throws the football straight downfield 55.0 yards in a direction perpendicular to the y-axis (in the +x-direction). What is the magnitude of the displacement (in yards) of the ball? yards (b) What if? The receiver that catches the football travels 64.0 additional yards at an angle of 45.0° counterclockwise from the +x-axis away from the quarterback's position and scores a touchdown. What is the magnitude of the football's total displacement (in yards) from where the quarterback took the ball to the end of the receiver's run?
A sailboat race course consists of four legs, defined by the displacement vectors A, B, C, and, as the drawing indicates. The magnitudes of the first three vectors are A = 2.90 km, B = 4.90 km, and C= 5.30 km. The finish line of the course coincides with the starting line. Using the data in the drawing, find (a) the distance of the fourth leg and (b) the angle (. (a) Number i 6.67 (b) Number 21.29 Units Units 0 0 23.0 7 B km + Finish- B 35.0 X 40.0° Start
9. Given two vectors, a = 4.0Î – 3.0ĵ and 5 = 6.0Î + 8.0ĵ, find the magnitudes and directions (with the +x axis) of (a) a, (b) b, (c) a + b, (d) b − a, and (e) a — b.
Your answer is partially correct. The three vectors in the figure have magnitudes a = 3.10 m, b = 2.60 m, and c = 10.2 m and angle 9 = 35.0%. What are (a) the x component and (b) they component of a; (c) the x component and (d) they component of b; and (e) the x component and (f) the y component of ? If = pa + gỗ, what are the values of (g) p and (h) q? (a) Number (b) Number (d) Number (c) Number 2.12979 (e) Number (f) Number 3.10 (g) Number 0 -5.8504 1.991282 8.35533 i (h) Number i Units Units Units [1] Units Units m Units m Units Units m m m
Assuming the +x-axis is horizontal and points to the right, resolve the vectors given in the following figure to their scalar components and express them in vector component form. yA 1. 60° A = 10.4 30° 30° 20.2 6 D = 20.2 53 37° A = В - F = C = 12.4 B = 5.4
9. The displacement vectors A T and B shown in Figure P3.9 both have of magnitudes 3.00 m. The direction of vec- 30.0°. Find gra- tor A is 0 phically (a) А+ В, (Ь) А - В (c) B- A, and (d) A – 2B (Report all angles counterclock- wise from the positivex axis.)