Posted by Sandy on Monday, January 3, 2011 at 11:46am.
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  Reiny, Monday, January 3, 2011 at 11:49am
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.
Answer This Question
Related Questions
 Calculus  A particle, initially at rest, moves along the xaxis such that its ...
 math  A particle moves along straight line such that its displacement S meters...
 Calc  A particle moves along the xaxis in such a way that it's position in ...
 Calc  A particle moves along the xaxis in such a way that it's position in ...
 calculus  a particle moves along a number line measured in cm so that its ...
 AP CALC. AB  1.The position of a particle moving on the line y = 2 is given by ...
 Calculus  How would I solve this: A particle moves along a line so that, at ...
 Calculus  a particle moves along a line so that at any time t its position is ...
 calculus  5. A particle moves along the y – axis with velocity given by v(t)=...
 calculus  5. A particle moves along the xaxis in such a way that its position ...
More Related Questions