calculus

posted by .

A particle moves along a horizontal line such that its position s(t) = (t^2e^3t/3)for time t. Find when the particle is at rest.

  • calculus -

    To be at rest, wouldn't the velocity have to be zero ?
    And isn't velocity the first derivative of your s(t) ?

    so...

    take the first derivative, set it equal to zero and solve for t.
    hint: use the product rule.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    How would I solve this: -A particle moves along a line so that, at time t, its position is s(t)=8 sin2t. a) For what values of t does the particle change direction?
  2. Calculus

    a particle moves along a line so that at any time t its position is given by x(t)=2(pi)t + cos2(pi)t find velocity find acceleration what are the values of t, 0<t<3, for which the particle is at rest?
  3. calculus

    a particle moves along a number line measured in cm so that its position at time t sec is given by s=72/(t+2) +k, k is a constant and t>=0 seconds. (a) Find the instantaneous velocity of the particle at t=4 seconds (b) Find the …
  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. calculus

    5. A particle moves along the x-axis in such a way that its position at time t is given by x=3t^4-16t^3+24t^2 for -5 ≤ t ≤ 5. a. Determine the velocity and acceleration of the particle at time t. b. At what values of t …
  6. calculus

    5. A particle moves along the y – axis with velocity given by v(t)=tsine(t^2) for t>=0 . a. In which direction (up or down) is the particle moving at time t = 1.5?
  7. Calc

    A particle moves along the x-axis in such a way that it's position in time t for t is greator or equal to 0 is given by x= 1/3t^3 - 3t^2 +8 A) show that at time t= 0 the particle is moving to the right. B) find all values of t for …
  8. Calc

    A particle moves along the x-axis in such a way that it's position in time t for t is greator or equal to 0 is given by x= 1/3t^3 - 3t^2 +8 A) show that at time t= 0 the particle is moving to the right. B) find all values of t for …
  9. 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?
  10. math

    A particle moves along straight line such that its displacement S meters from a given point is S = t^3 – 5t^2 + 4 whee t is time in seconds. Find (a) The displacement of particle at t = 5 (b) The velocity of the particle when t = …

More Similar Questions