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.

Algebra ->  Equations -> 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.       Log On


   



Question 1147473: 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.
E) How long does it take for the velocity to reach −36 m/s?
F) Find the acceleration at 𝑡 = 2 seconds.
G) Find the velocity when the acceleration is 0 m/s^2.

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