Calculus

posted by .

Given the position function s(t) = t cos t, find the velocity function

  • Calculus -

    v(t) = ds/dt = 1*cost - t*sint

    using the product rule

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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 describes …
  2. 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 given …
  3. Math: Calculus

    The velocity function is v(t)= t^2-5t+ 4 for a particle moving along a line. The position function s(t) is an antiderivative of the velocity function. Find the displacement, s(6) - s(-3), by the particle during the time interval [-3,6].
  4. Calculus

    A particle, initially at rest, moves along the x-axis such that its acceleration at time t>0 is given by a(t)=cos(t). At the time t=0, its position is x=3. How do I find the position function for the particle?
  5. Physics

    Figure a is a partial graph of the position function x(t) for a simple harmonic oscillator with an angular frequency of 1.75 rad/s; figure b is a partial graph of the corresponding velocity function v(t). The vertical axis scales are …
  6. Calculus

    In a test run, a new train travels along a straight-line track. Data obtained from the speedometer indicate that the velocity of the train at any time t can be described by the velocity function v(t) = 8t (0 ¡Ü t ¡Ü 30) a. Find …
  7. Calculus

    In a test run, a new train travels along a straight-line track. Data obtained from the speedometer indicate that the velocity of the train at any time t can be described by the velocity function v(t) = 8t (0 _< t _< 30) a. Find …
  8. physics

    Given the position function s(t) = t cos t, find the velocity function. Answer v(t) = -sin t v(t) = sin t v(t) = cos t - t sin t v(t) = cos t + t sin t
  9. Calculus..

    Two particles are moving in straight lines. The displacement (meters) of particle 1 is given by the function s(t)= cos(4x), where t is in seconds. The displacement (meters) of particle 2 is given by the function s(t)= t^3/3-t^2/2 +2(t) …
  10. PHYSICS

    The position of a particle moving on a smooth horizontal floor is given as a function of time according to the equation x=ut+1/2at^2. At time t=0, the particle has the velocity u. Obtain an expression for the velocity as the function …

More Similar Questions