SOLUTION: The position of a particle moving along the 𝑥-axis is given by 𝑠(𝑡)=5+3t^2-2t^3 meters for 𝑡 ≥ 0 seconds. A) Find the initial position, 𝑡 = 0, of the particle.

Question 1147474: The position of a particle moving along the 𝑥-axis is given by
𝑠(𝑡)=5+3t^2-2t^3 meters for 𝑡 ≥ 0 seconds.
A) Find the initial position, 𝑡 = 0, of the particle.
B) Find the displacement for 1 ≤ 𝑡 ≤ 3.
C) Find the average velocity for 1 ≤ 𝑡 ≤ 3.
D) Find the velocity at 𝑡 =2 seconds. Find the speed of the particle at 𝑡 = 2 seconds. Is the ball moving forward or backward at 𝑡 = 2 seconds? Justify.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The position of a particle moving along the 𝑥-axis is given by
𝑠(𝑡)=5+3t^2-2t^3 meters for 𝑡 ≥ 0 seconds.
A) Find the initial position, 𝑡 = 0, of the particle.
Sub 0 for t. Is that not obvious?
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B) Find the displacement for 1 ≤ 𝑡 ≤ 3.
C) Find the average velocity for 1 ≤ 𝑡 ≤ 3.
D) Find the velocity at 𝑡 =2 seconds. Find the speed of the particle at 𝑡 = 2 seconds. Is the ball moving forward or backward at 𝑡 = 2 seconds? Justify.
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I could do B, C & D but I have imbibed some vodka and lost interest.
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Posting the same problem only does not increase your chances of getting help.
It does piss off the tutors.
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