Tuesday

September 30, 2014

September 30, 2014

Posted by **Lauren** on Thursday, September 10, 2009 at 5:08pm.

a.find the velocity of the particle at any time t>= 0

b. for what values of t is the velocity of the particle negative?

c. find the value of t when the particle is moving and the acceleration is zero. explain your answer choice

- Calculus -
**Reiny**, Thursday, September 10, 2009 at 7:11pma) find x'(t) using the product rule, that will be your velocity

b) set x'(t) from above < 0 and solve

c) acceleration is the derivative of velocity, so differentiate x'(t) again, and set it equal to zero

- Calculus -
**drwls**, Thursday, September 10, 2009 at 7:12pma) Take the deriviative of x(t)

b) Set the derivative = 0 and solve the equation for t

c) Take the derivative of v(t) and set that equal to zero. If there is more than one answer, take the one for which v is not zero.

We will be glad to critique your work.

**Answer this Question**

**Related Questions**

calculus - 5. A particle moves along the y – axis with velocity given by v(t)=...

Calculus - A particle, initially at rest, moves along the x-axis such that its ...

Calc - A particle moves along the x-axis in such a way that it's position in ...

Calc - A particle moves along the x-axis in such a way that it's position in ...

Calculous - A particle moves along the c-axis so that at time t its position is ...

Calculus (Answer Check) - A particle moves along the x-axis so that its velocity...

Calculus (Answer Check) - A particle moves along the x-axis so that its ...

Calculus (Answer Check) - Are my answers right? If they are wrong you dont have ...

Calculus - A particle starts at the point (5,0) at t=0 and moves along the x-...

calculus - 4. A particle starts at the point (5, 0) at t = 0 and moves along the...