Friday

July 25, 2014

July 25, 2014

Posted by **Aparna** on Sunday, January 27, 2013 at 9:38am.

A) show that at time t= 0 the particle is moving to the right.

B) find all values of t for which the particle is moving to the left.

C) what is the position of the particle at time t=3

D) when t=3, what is the total distance the particle has traveled

- Calc -
**Reiny**, Sunday, January 27, 2013 at 9:59amx = 1/3t^3 - 3t^2 + 8

dx/dt = t^2 - 6t

a)

when t=0 ,

dx/dt = 0-0 = 0

showing that x is not moving at all at that time.

b) to be moving to the left

t^2 - 6t < 0

t(t-6) < 0

which is true for all

0 < t < 6

c) when t=3

x = (1/3)(27) - 3(9) + 8 = -10

d) when t= 0 , x = 8

when t=3 , x = -10

the particle has traveled 18 units

**Related Questions**

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 ...

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

Calc - a partial moves along the x-axis so that its velocity at time t, for 0<...

calculus - a particle moves along the x-axis in such a way that its acceleration...

calculus - 5. A particle moves along the x-axis in such a way that its position ...

ap calculus - a particle moves along the x axis in such a way that its ...

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

calculus - a particle moves along the y axis so that its position at any time t...