A particle is moving along a line with velocity given by the function v(t) = t=1 tanh(In t)[sech(In t) + 1], for any time t > 0. If the particle is located 9 units to the right of the origin at t = 1, find the position function of the particle at any time t.

A particle is moving along a line with velocity given by the function v(t) = t=1 tanh(In t)[sech(In t) + 1], for any time t > 0. If the particle is located 9 units to the right of the origin at t = 1, find the position function of the particle at any time t.

Name: A particle is moving along a line with velocity given by the function
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: A particle is moving along a line with velocity given by the functionv(t) = t=1 tanh(In t)[sech(In t) + 1],for any time t > 0. If the particle is located 9 units to the right of the origin at t = 1, findthe position function of the particle at any t

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 6P: At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of...

See similar textbooks

Similar questions

A particle is moving on xy plane, with x=15sin(2t), and y = 20cos(2t) Find the magnitude of the velocity as a function of time
Particles A and B move to the right along a horizontal line. They start at a point O, s meters isthe directed distance of the particle from O at t seconds, and the equations of motion for particlesA and B are s = 4t2 + 5t and s = 7t2 + 3t, respectively. If t = 0 at the start, for what values of twill the velocity of particle A exceed the velocity of particle B?
Hockey player A carries the puck on his stick and moves in the direction shown with a speed vA = 3.0 m/s. In passing the puck to his stationary teammate B, by what angle α should the direction of his shot trail the line of sight if he launches the puck with a speed of 6.6 m/s relative to himself?
A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial velocity of vi=5.00im/s. Find (a) the vector position of the particle at any time t, (b) the velocity of the particle at any time t, (c) the coordinates of the particle at t = 2.00 s, and (d) the speed of the particle at t = 2.00 s.
Point A moves uniformly with velocity v so that the vector v is continually “aimed” at point B which in its turn moves rectilinearly and uniformly with velocity u At the initial moment of time v perpendicular to u and the points are separated by a distance L. How soon will the points converge?
A particle P moves along the line x+y=2 in the z plane with a uniform speed 3√2 ft /sec from the point z = −5 + 7i to the point z = 10−8i. If w = 2z^(2)−3 and P′ is the image, in the plane w, of P, find the magnitude of a) the velocity and b) of the acceleration of P′ After 3 seconds
From the origin, a particle starts at t = 0 s with a velocity vecv=7.0hatim//s and moves in the xy plane with a constant acceleration of veca=(-9.0hati+3.0hatj)m//s^(2). At the time the particle reaches the maximum x coordinate, what is its (a) velocity and (b) position vector?
The positions of two particles on the s-axis ares1 = sin t and s2 = sin (t + π/3), with s1 and s2 in meters and t inseconds. At what time(s) in the interval 0 ≤ t≤ 2π do the particles meet?
A sniper atop a building 150m high fired a bullet parallel to the horizontal with a speed of 1800km/h. Assuming that the bullet will hit its target, what would be the resulting range?
Answer the problem by choosing one of the eight labeled acceleration vectors or selecting option I: a→ = 0→. At this instant, the particle has steady speed and is curving to the right. What is the direction of its acceleration?
A Snowmobile is originally at the point with position vector 29.0m at 95 (Degrees) counterclockwise from the x-axis, moving with velocity 4.5 m/s at 40 (Degrees). It moves with constant acceleration 1.9 m/s^2 at 200 (dregrees). After 5 seconds have elapsed, find... a) Its Velocity? b) Its Position Vector?
A particle moves along the yy axis so that its position at any time t, for 0≤t≤5t, is given by y(t)=t4−18t2. Find the intervals in which the particle is speeding up.