Suppose the position vector is given by F(t) = (t, t?, +3) Then at time t...
i need help with all parts. i will rate. thank you very much. Suppose u=f x+y ху is a differentiable function. Which equation must be true? ди ди дхду = 0 од? д?u дх2 ду? + = 0 х2. ди ди - у. дх ду = 0 ди y- дх ди Х- ду = 0 O None of the above Suppose the position vector is given by F(t) = = <t, t², 2) Then at time t = 1, the...
Suppose that the position vector of a particle is given by the following function of time: r = (6.0 + 2.0t^2)i + (3.0 - 2.0t + 3.0t^2)j where distance is measured in meters and time in seconds. (a) What is the instantaneous velocity vector at t=2.0 s? What is the magnitude of this vector? (b) What is the instantaneous acceleration vector? What are the magnitude and direction of this vector?
Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t) = (2+, 4 sin(t), cos(5t)) v(0) = (-3, -5,0) 7(0) = (-5,2, - 1) F(t)
Suppose that, at time t = 0, a particle with mass 3 has position vector ⃗r(0) = 4⃗j − ⃗k and velocity ⃗v(0) = −5⃗j − 13⃗k. The particle is then subjected to a constant force of F⃗ = 9⃗ı + 6⃗k. (a) Find the position of the particle (as a function of time). (b) When is the particle moving most slowly? Compare the minimum speed with the speed at times t = 1 and t = 4. Thank you!...
1. A particle's position at time t is r(t) (t, 2et, e2t). Find the following in terms of t: nd the following in termns o (i) the distance traveled from the initial position at t0 (ii) the curvature κ and torsion τ of the path (iii) the unit tangent, principal normal and binormal vectors T, N and B (iv) the tangential and normal components of the acceleration vector 1. A particle's position at time t is r(t) (t, 2et, e2t)....
(1 point) Suppose the position of a particle in motion at time t is given by the vector parametric equation r(t) = (3/t - 2), 7, 2+3 – 6t). (a) Find the velocity of the particle at time t. v(t) = (b) Find the speed of the particle at time t. Speed = (c) Find the time(s) when the particle is stationary. If there is more than one correct answer, enter your answers as a comma separated list. t =
Suppose that the position of a particle is given by 8 = f(t) = 6t3 + 7t + 9. (a) Find the velocity at time t. т v(t) = S (b) Find the velocity at time t = 3 seconds. m s (c) Find the acceleration at time t. m a(t) = 82 (d) Find the acceleration at time t = 3 seconds. т 82 Question Help: Message instructor Submit Question Find the derivative of f(x) = –67 + 10...
The vector r(t) is the position vector of a particle at time t. Find the angle between the velocity and the acceleration vectors at time t = 0. r(t) = sin (3t) i + In(31 2 + 1)j + V32.1k os Oo 4 Moving to the next question prevents changes to this answer.
Suppose that the position vector for a particle is given as a function of time by vector r (t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct2 + d, where a = 2.00 m/s, b = 1.50 m, c = 0.118 m/s2, and d = 1.02 m.
The position vector r describes the path of an object moving in space. Position Vector Time r(t) = + i + tj + 2+ 3/2 t=9. (a) Find the velocity vector, speed, and acceleration vector of the object. v(t) s(t) = a(t) (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. v9) al 9) =