Wednesday

October 22, 2014

October 22, 2014

Posted by **Yoona** on Monday, November 7, 2011 at 9:07am.

a. Find the acceleration of the particle at t = 0.

b. Find the velocity of the particle when its acceleration is 0.

c. Find the total distance traveled by the particle from t = 0 to t = 5.

- calculous -
**Damon**, Monday, November 7, 2011 at 10:39amx = 3 t^3 + 1

dx/dt = 9 t^2

d^2x/dt^2 = 18 t

so at t = 0 both acceleration and velocity are 0

velocity is always greater than 0 so the particle never backs up. Therefore all we need is the position at t = 5 minus the position at t = 1

x(5) = 251

x(1) = 7

------------

difference = 244

- calculous -
**Yoona**, Monday, November 7, 2011 at 12:18pmthank you!!!!!!!!!!! I dont think any of my teachers would deticate some of their time for us:D

**Answer this Question**

**Related Questions**

AP Calculous - A particle moves on the x –axis so that its position at any time...

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

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

HS Calculus - Having trouble with this questions. Please help. A particle moves ...

Calculus - a particle starts at time t = 0 and moves along the x axis so that ...

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 ...

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 ...

help math - a partial moves along the x-axis so that its velocity at time t, for...