At t=0, an object of mass m is at rest at x=0 on a horizontal, frictionless surface. a horizontal force fx=f0 (1−t/t), which decreases from f0 at t=0 to zero at t=t, is exerted on the object.\

part a
find an expression for the object's velocity at time t.
express your answer in terms of the variables f0, m, and t.

part b
find an expression for the object's position at time t.
express your answer in terms of the variables f0, m, and t.

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Three different objects, all with different masses, are initially at rest at the bottom of a set of steps. each step is of uniform height . the mass of each object is a multiple of the base mass : object 1 has mass 4..00m , object 2 has mass 1..96m , and object 3 has mass . when the objects are at the bottom of the steps, define the total gravitational potential energy of the three-object system to be zero. if the objects are then relocated as shown, what is the new total potential energy of the system? each answer requires the numerical coefficient to an algebraic expression. each algebraic expression is given using some combination of the variables , , and , where is the acceleration due to gravity. enter only the numerical coefficient. (example: if the answer is 1..23mgd , just enter 1.23)

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