Amarble slides along a frictionless track at a constant speed before encountering a section of the track that is covered with a thin layer of putty. the instantaneous velocity of the marble as it slides past the putty, as a function of time is given by =−+ where =0 at the moment when the marble first comes into contact with the putty. as the marble exits the region covered in putty, the marble's instantaneous acceleration goes to zero. for =2.50 m/s, =2.95m/s2, and c=7.30m/s4, calculate the length δx of the track that is covered with putty.

It may seem strange that the selected velocity does not depend on either the mass or the charge of the particle. (for example, would the velocity of a neutral particle be selected by passage through this device? ) the explanation of this is that the mass and the charge control the resolution of the device--particles with the wrong velocity will be accelerated away from the straight line and will not pass through the exit slit. if the acceleration depends strongly on the velocity, then particles with just slightly wrong velocities will feel a substantial transverse acceleration and will not exit the selector. because the acc