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Mathematics, 21.01.2020 19:31 bapehoodboi

Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x' (t) is its velocity, and x'' (t) is its acceleration.

x(t) = t3 βˆ’ 6t2 + 9t βˆ’ 5, 0 ≀ t ≀ 10

(a) find the velocity and acceleration of the particle.

x' (t) =
x'' (t) =

(b) find the open t-intervals on which the particle is moving to the right. (enter your answer using interval notation.)

(c) find the velocity of the particle when the acceleration is 0.

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Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x'...
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