A particle moves along a horizontal path with position function s(t) = t – 9t2 + 15t + 8. 1. Where is the particle located at the second instance that it changed direction? 2. Is the particle speeding up or slowing down at t = 2? 3. Determine the total distance travelled by the particle during the first 6 seconds. 4. What is the rate of change of the acceleration of the particle with respect to time at t = 1?

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Chapter2: Kinematics
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. A particle moves along a horizontal path with position function
s(t) = t3 – 9t2 + 15t + 8.
1. Where is the particle located at the second instance that it changed direction?
2. Is the particle speeding up or slowing down at t = 2?
3. Determine the total distance travelled by the particle during the first 6 seconds.
4. What is the rate of change of the acceleration of the particle with respect to time at t = 1?
Transcribed Image Text:. A particle moves along a horizontal path with position function s(t) = t3 – 9t2 + 15t + 8. 1. Where is the particle located at the second instance that it changed direction? 2. Is the particle speeding up or slowing down at t = 2? 3. Determine the total distance travelled by the particle during the first 6 seconds. 4. What is the rate of change of the acceleration of the particle with respect to time at t = 1?
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