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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′(t) is its velocity, and x′′(t) is its acceleration. A particle, initially at rest, moves along the x-axis such that its acceleration at time t > 0 is given by a(t) = 2cos⁡(t). At the time t = 0, its position is x = 7. (a) Find the velocity and position functions for the particle. v(t) = f(t) = (b) Find the values of t for which the particle is at rest. (Use k as an arbitrary non-negative integer. ) t =

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. A particle, initially at rest, moves along the x-axis such that its acceleration at time t > 0 is given by a(t) = 2cos⁡(t). At the time t = 0, its position is x = 7. (a) Find the velocity and position functions for the particle. v(t) = f(t) = (b) Find the values of t for which the particle is at rest. (Use k as an arbitrary non-negative integer. ) t =

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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 ′ ( t ) is its velocity, and x ′ ′ ( t ) is its acceleration.
A particle, initially at rest, moves along the x -axis such that its acceleration at time t > 0 is given by a ( t ) = 2 cos ⁡ ( t ) . At the time t = 0 , its position is x = 7 . (a) Find the velocity and position functions for the particle.
v ( t ) = ◻ f ( t ) = ◻
(b) Find the values of t for which the particle is at rest. (Use k as an arbitrary non-negative integer.)
t =
◻

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