A particle initially located at the origin has an acceleration of a = 4.00ĵ m/s² and an initial velocity of v = 9.00î m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). |tî+ 1? j) m (b) Find the velocity of the particle at any time t. î + |tj) m/s (c) Find the coordinates of the particle at t = 1.00 s. X = m y = m (d) Find the speed of the particle at t = 1.00 s. m/s

A particle initially located at the origin has an acceleration of a = 4.00ĵ m/s² and an initial velocity of v = 9.00î m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). |tî+ 1? j) m (b) Find the velocity of the particle at any time t. î + |tj) m/s (c) Find the coordinates of the particle at t = 1.00 s. X = m y = m (d) Find the speed of the particle at t = 1.00 s. m/s

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

An object has an initial velocity of 29.0 m/s at 95.0° and an acceleration of 1.90 m/s2 at 200.0°. Assume that all angles are measured with respect to the positive x-axis. (a) Write the initial velocity vector and the acceleration vector in unit vector notation. (b) If the object maintains this acceleration for 12.0 seconds, determine the average velocity vector over the time interval. Express your answer in your unit vector notation.
A particle leaves the origin with an initial velocity 3.00î m/s and a constant acceleration ở -1.00î – 0.50ĵ m/s². When it reaches its maximum x coordinate, what are its (a) velocity and (b) position vector?
A particle initially located at the origin has an acceleration of a = 4.00j m/s? and an initial velocity of v = 9.00î m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). tî + 2 j) m (b) Find the velocity of the particle at any time t. î + tj) m/s (c) Find the coordinates of the particle at t = 6.00 s. y%3D m (d) Find the speed of the particle at t = 6.00 s. m/s Need Help? Read It Watch It P Type here to search
A dipole is held motionless in an electric field as shown in the figure. When the dipole is released, which of the following describes the subsequent motion? P The dipole rotates counterclockwise The dipole rotates clockwise and move more towards right side The dipole rotates counterclockwise and move more towards left side The dipole rotates counterclockwise and move more towards right side O The dipole rotates clockwise The dipole rotates clockwise and move more towards left side
Still think that unit conversion isn't important? Here is a widely publicized, true story about how failing to convert units resulted in a huge loss. In 1998, the Mars Climate Orbiter probe crashed into the surface of Mars, instead of entering orbit. The resulting inguiry revealed that NASA navigators had been making minor course corrections in SI units, whereas the software written by the probe's makers implicitly used British units. In the United States, most scientists use Sl units, whereas most engineers use the British, or Imperial, system of units. (Interestingly, British units are not used in Britain.) For these two groups to be able to communicate to one another, unit conversions are necessary. The unit of force in the SI system is the newton (N), which is defined in terms of basic Sl units as 1 N=1 kg · m/s?. The unit of force in the British system is the pound (lb), which is defined in terms of the slug (British unit of mass), foot (ft), and second (s) as 1 lb =1 slug ·…
A particle initially located at the origin has an acceleration of a = 2.00ĵ m/s² and an initial velocity of = 6.00î m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). ( tî + (²ĵ) m f (b) Find the velocity of the particle at any time t. ( î+ tj) m/s (c) Find the coordinates of the particle at t = 7.00 s. X = y = m m (d) Find the speed of the particle at t = 7.00 s. m/s Submit Answer
Given the position vector ~r(t) = t^2ˆi+tˆj in meters, what is the magnitudeof the velocity vector at a time of three seconds?
If the initial velocity vector of a particle is vo 8i - 2j m/s, and after time t 5 s its v 2i+ 6j m/s,then find the acceleration vector a (in m/).
A snowmobile is originally at the point with position vector 27.1 m at 95.0° counterclockwise from the x axis, moving with velocity 4.13 m/s at 40.0°. It moves with constant acceleration 15 m at 200 After 5.00 s have elapsed, find the following. (Express your answers in vector form.) (a) its velocity vector (b) its position vector
Find the magnitude of a particle's acceleration vector at t=2 for a particle moving with a position vector r(t)=<t2,t3−t>.
IT.0.0a Given an acceleration vector, initial velocity (uo.Vo), and initial position {xo.yo}, find the velocity and position vectors for t2 0. a(t) = (cos t,5 sin t. (Uo Vo) = (0,5) , (Xo.Yo) = (2.0) What is the velc | vector? v(t) =
The velocity vector of a particle is given by: V = Vje-)[sin(wt)i + cos(wt)j] where, Vo = 12.1 m/s; T = 2.5 s; w = 5.2 rad/s Calculate the magnitude of the acceleration (in m/s2) at t = 7.4 s