1. ## Particle motion

Particle is moving along a horizontal line with position function

$\displaystyle t^3-6t^2+9t+1$

A)velocity
B)acceleration
c)Particles change in direction find relitive min or max
Well i did abc but the problem is with d

D)When is the particle 2 units to the right of were it started?
Hint:finds S(0) and now consider 2 units to the right as a +2 and -2.
set this value equal to the position function and solve.

E)Label the particle motion
Well i did this kinda like a physics graph with both
velocity and acceleration

2. Originally Posted by john doe
Particle is moving along a horizontal line with position function

$\displaystyle t^3-6t^2+9t+1$

A)velocity
B)acceleration
c)Particles change in direction find relitive min or max
Well i did abc but the problem is with d

D)When is the particle 2 units to the right of were it started?
Hint:finds S(0) and now consider 2 units to the right as a +2 and -2.
set this value equal to the position function and solve.

E)Label the particle motion
Well i did this kinda like a physics graph with both
velocity and acceleration
D) At t = 0 (the starting time) the particle is at s = 1.

2 units to the right of this starting point is s = 3.

So solve $\displaystyle 3 = t^3-6t^2+9t+1$ for t.