Magnetic tape is being transferred from reel A to reel B and passes around idler pulleys...

Magnetic tape is being transferred from reel A to reel B and passes around idler pulleys C and D. At a certain instant, point p₁ on the tape is in contact with pulley C and point p₂ is in contact with pulley D. If the normal component of acceleration of p₁ is 40 m/s² and the tangential component of acceleration of p₂ is 30 m/s² at this instant, compute the corresponding speed v of the tape, the magnitude of the total acceleration of p₁, and the magnitude of the total acceleration of p₂.