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3. Force and Velocity (4 pts) A rope pulls a box, as is shown in the picture. The rope makes an angle with the horizontal

3. Force and Velocity (4 pts) A rope pulls a box, as is shown in the picture. The rope makes an angle with the horizontal and there is friction present between the box and the surface. The box starts at rest. When it is pulled by the rope it accelerates and reaches a constant velocity after some time t.

(a) Based on the information given above, do you know the acceleration at any point in time during the start-up period, t?

(b) After t the velocity is constant. For which of the following constant velocities is the pulling force largest? Your answer may contain some, all, or none of these. Justify your answer.

i. v=1m/s ii. v=10m/s iii. v = 100 m/s

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