How long does it take for the box to come to rest


Boxes come off a conveyor system at a velocity of 8 m/s and slide across a horizontal , frictionless surface into a bumper that is programmed to give a resistive force of F=240 t^2 (newtons). For a box of 10 kg, how long does it take for the box to come to rest once it impacts the bumper? and what is the maximum deflection of the bumper?

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Mechanical Engineering: How long does it take for the box to come to rest
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