The position of a particular particle as a function of time is given by r = ( 9.60ti + 8.85j - 1.00t^2 k)m, where t is in seconds.
a) Determine the particle's velocity as a function of time.
b) Determine the particle's acceleration as a function of time.
(Express both answers in terms of the unit vectors i, j, and k)

  1. 👍 0
  2. 👎 0
  3. 👁 1,246
  1. v = dr/dt, so just differentiate each component with respect to t
    v=9.6 i - 2.00t k
    a=dv/dt = -2.00 k

    1. 👍 0
    2. 👎 0
  2. Well, it is correct as long as the coordinate system is not changing.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. AP Calculus

    A particle is moving along a horizontal straight line. The graph of the position function (the distance to the right of a fixed point as a function of time) is shown below. Answer the following questions only on the interval

  2. calculus homework help stuck

    Let s(t) denote the position of a particle at time t, and let v and a be the velocity and acceleration respectively. The particle is moving according to the data a(t)=10sin(t)+3cos(t) s(0)=-4 s(2pi)=1 find a function describing

  3. Calculus

    a particle starts at time t = 0 and moves along the x axis so that its position at any time t>= 0 is given by x(t) = ((t-1)^3)(2t-3) a.find the velocity of the particle at any time t>= 0 b. for what values of t is the velocity of

  4. calculus

    Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x'(t) is its velocity, and x''(t) is its acceleration. A particle moves along the x-axis at a velocity of v(t) = 5/√t, t > 0. At

  1. Calculus

    The position function of a particle in rectilinear motion is given by s(t) = 2t^3 – 21t^2 + 60t + 3 for t ≥ 0. Find the position and acceleration of the particle at the instant the when the particle reverses direction. Include

  2. help math

    a partial moves along the x-axis so that its velocity at time t, for 0< = t = < 6, is given by a differentiable function v whose graph is shown above. The velocity is 0 at t=0, t=5, and the graph has horizontal tangents at t=4.

  3. AP CALC. AB

    1.The position of a particle moving on the line y = 2 is given by x(t)= 2t^3-13t^2+22t-5 where t is time in seconds. When is the particle at rest? a. t =0.268, 2.500, and 3.732 b. t = 0, 1.153, and 3.180 c. t = 1.153, 2.167 and

  4. calc

    i did this problem and it isn't working out, so i think i'm either making a dumb mistake or misunderstanding what it's asking. A particle moves along the x axis so that its velocity at any time t greater than or equal to 0 is

  1. physics

    The velocity of a particle constrained to move along the x-axis as a function of time t is given by: v(t)=-(15/t_0) sin(t/t_0). a)If the particle is at x=4 m when t = 0, what is its position at t = 4t_0. You will not need the

  2. physics

    The position of a particle moving along an x axis is given by x = 15t2 - 2.0t3, where x is in meters and t is in seconds. (a) Determine the position, velocity, and acceleration of the particle at t = 3.0 s. x = m v = m/s a = m/s2

  3. Calculus

    Let f be the function given by f(t) = 2ðt + sin(2ðt) a) Find the value of t in the open interval (0,20 for which the line tangent at (t, f(t)) is parallel to the line through (0,0) and (2,4ð) b) Suppose the given function

  4. Physics

    A particle of mass m, initially at rest at x = 0, is accelerated by a force that increases in time as F=Ct^2. a) Determine its velocity v as a function of time. b) Determine its position x as a function of time. Express your

You can view more similar questions or ask a new question.