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2. Suppose a particle is traveling on a one-dimensional track with velocity v(t) = t² - 6t+ 5 feet per second for 0 ≤ t ≤ 6. Further suppose that the position of the particle at time t = 0 is given by s(0) = 3 and that positive values mean the particle is traveling to the right. (a) (b) What is the position function s(t)? What is the acceleration function a(t)? (c) When is the particle at rest? The particle is at rest when the velocity is zero. Then graph the velocity function v(t).

2. Suppose a particle is traveling on a one-dimensional track with velocity v(t) = t² - 6t+ 5 feet per second for 0 ≤ t ≤ 6. Further suppose that the position of the particle at time t = 0 is given by s(0) = 3 and that positive values mean the particle is traveling to the right. (a) (b) What is the position function s(t)? What is the acceleration function a(t)? (c) When is the particle at rest? The particle is at rest when the velocity is zero. Then graph the velocity function v(t).

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Question

2.
Suppose a particle is traveling on a one-dimensional track with velocity
v(t) = t² − 6t + 5
feet per
second for 0 ≤ t ≤ 6. Further suppose that the position of the particle at time
t = 0 is given by s(0) = 3 and that positive values mean the particle is traveling to the
right.
(a)
(b)
What is the position function s(t)?
What is the acceleration function a(t)?
(c)
When is the particle at rest? The particle is at rest when the velocity is
zero. Then graph the velocity function v(t).

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Step 1: Define the problem.

Step 2: Find the position function.

Step 3: Continuation:

Step 4: Find the acceleration function.

Step 5: Determine the time after which the particle is at rest.

Step 6: Draw the graph of the velocity function.

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