An object of mass m is projected horizontally in the positive x-axis with an initial speed...

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An object of mass m is projected horizontally in the positive x-axis with an initial speed v, in a medium that exerts a resistance force of magnitude mkv, where k is a positive constant and v is the velocity of the object. Gravity can be ignored. (a) Determine the position of the object as a function of time. (b) Is the motion bounded? Why? An object of mass m is projected horizontally in the positive x-axis with an initial speed v, in a medium that exerts a resistance force of magnitude mkv, where k is a positive constant and v is the velocity of the object. Gravity can be ignored. (a) Determine the position of the object as a function of time. (b) Is the motion bounded? Why?