Aparticle moves according to the law of motion s(t) = t^{3}-8t^{2}+2t, where t is measured in seconds and s in feet.

(a) find the velocity at time t.
(b) what is the velocity after 3 seconds?
(c) when is the particle at rest?

a)

b) The velocity after 3 seconds is -3m/s.

c) and .

Step-by-step explanation:

The position is given by the following equation.

(a) Find the velocity at time t.

The velocity is the derivative of position. So:

.

(b) What is the velocity after 3 seconds?

This is v(3).

The velocity after 3 seconds is -3m/s.

(c) When is the particle at rest?

This is when .

So:

This is when and .

step-by-step explanation:

c

step-by-step explanation:

it would be see because your formula is f(x)=6x, so 6 times 1 is 6 and you go on and the best answer is c.