The paint-spraying robot is programmed to paint a production line of curved surfaces A (seen on edge). The length of the telescoping arm is controlled according to b = 0.3 sin (πt/2), where b is in meters and t is in seconds. Simultaneously, the arm is programmed to rotate according to 0 = π/4 + (π/8) sin (πt/2) radians. Calculate the magnitude v of the velocity of the nozzle N and the magnitude a of the acceleration of N for 1 = 1 s and for 1 = 2 s.

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The paint-spraying robot is programmed to paint a production line of curved surfaces A (seen on edge). The length of the telescoping arm is controlled according to b = 0.3 sin (πt/2), where b is in meters and t is in seconds. Simultaneously, the arm is programmed to rotate according to 0 = π/4 + (π/8) sin (πt/2) radians. Calculate the magnitude v of the velocity of the nozzle N and the magnitude a of the acceleration of N for 1 = 1 s and for 1 = 2 s.

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